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Finding the Fourth Proportional to 171,050.70, 256,394.61 and 65,824.14

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Solution

The fourth proportional to 171,050.70, 256,394.61 and 65,824.14 is: 98,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,050.70 : 256,394.61 = 65,824.14 : x
  2. Step 2: Convert to fraction form
    171,050.70/256,394.61 = 65,824.14/x
  3. Step 3: Cross multiply
    171,050.70x = 256,394.61 × 65,824.14
  4. Step 4: Simplify right side
    171,050.70x = 16,876,954,703.89
  5. Step 5: Solve for x
    x = 16,876,954,703.89/171,050.70
  6. Step 6: Final answer
    x = 98,666.39

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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.