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Finding the Fourth Proportional to 171,209.10, 256,813.65 and 77,897.10

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Solution

The fourth proportional to 171,209.10, 256,813.65 and 77,897.10 is: 116,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,209.10 : 256,813.65 = 77,897.10 : x
  2. Step 2: Convert to fraction form
    171,209.10/256,813.65 = 77,897.10/x
  3. Step 3: Cross multiply
    171,209.10x = 256,813.65 × 77,897.10
  4. Step 4: Simplify right side
    171,209.10x = 20,005,038,575.42
  5. Step 5: Solve for x
    x = 20,005,038,575.42/171,209.10
  6. Step 6: Final answer
    x = 116,845.65

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.