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Finding the Fourth Proportional to 157,107.33, 235,723.50 and 57,274.29

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Solution

The fourth proportional to 157,107.33, 235,723.50 and 57,274.29 is: 85,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,107.33 : 235,723.50 = 57,274.29 : x
  2. Step 2: Convert to fraction form
    157,107.33/235,723.50 = 57,274.29/x
  3. Step 3: Cross multiply
    157,107.33x = 235,723.50 × 57,274.29
  4. Step 4: Simplify right side
    157,107.33x = 13,500,896,098.82
  5. Step 5: Solve for x
    x = 13,500,896,098.82/157,107.33
  6. Step 6: Final answer
    x = 85,934.22

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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.