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Finding the Fourth Proportional to 171,140.60, 256,706.10 and 77,646.20

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Solution

The fourth proportional to 171,140.60, 256,706.10 and 77,646.20 is: 116,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,140.60 : 256,706.10 = 77,646.20 : x
  2. Step 2: Convert to fraction form
    171,140.60/256,706.10 = 77,646.20/x
  3. Step 3: Cross multiply
    171,140.60x = 256,706.10 × 77,646.20
  4. Step 4: Simplify right side
    171,140.60x = 19,932,253,181.82
  5. Step 5: Solve for x
    x = 19,932,253,181.82/171,140.60
  6. Step 6: Final answer
    x = 116,467.12

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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.