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Finding the Fourth Proportional to 157,957.90, 236,978.39 and 56,766.17

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Solution

The fourth proportional to 157,957.90, 236,978.39 and 56,766.17 is: 85,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,957.90 : 236,978.39 = 56,766.17 : x
  2. Step 2: Convert to fraction form
    157,957.90/236,978.39 = 56,766.17/x
  3. Step 3: Cross multiply
    157,957.90x = 236,978.39 × 56,766.17
  4. Step 4: Simplify right side
    157,957.90x = 13,452,356,307.43
  5. Step 5: Solve for x
    x = 13,452,356,307.43/157,957.90
  6. Step 6: Final answer
    x = 85,164.19

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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.