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Finding the Fourth Proportional to 157,226.64, 235,766.88 and 57,317.28

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Solution

The fourth proportional to 157,226.64, 235,766.88 and 57,317.28 is: 85,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,226.64 : 235,766.88 = 57,317.28 : x
  2. Step 2: Convert to fraction form
    157,226.64/235,766.88 = 57,317.28/x
  3. Step 3: Cross multiply
    157,226.64x = 235,766.88 × 57,317.28
  4. Step 4: Simplify right side
    157,226.64x = 13,513,516,275.69
  5. Step 5: Solve for x
    x = 13,513,516,275.69/157,226.64
  6. Step 6: Final answer
    x = 85,949.28

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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.