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Finding the Fourth Proportional to 157,123.85, 235,780.33 and 57,292.56

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Solution

The fourth proportional to 157,123.85, 235,780.33 and 57,292.56 is: 85,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,123.85 : 235,780.33 = 57,292.56 : x
  2. Step 2: Convert to fraction form
    157,123.85/235,780.33 = 57,292.56/x
  3. Step 3: Cross multiply
    157,123.85x = 235,780.33 × 57,292.56
  4. Step 4: Simplify right side
    157,123.85x = 13,508,458,560.11
  5. Step 5: Solve for x
    x = 13,508,458,560.11/157,123.85
  6. Step 6: Final answer
    x = 85,973.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.