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Finding the Fourth Proportional to 157,061.52, 216,745.20 and 85,441.86

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Solution

The fourth proportional to 157,061.52, 216,745.20 and 85,441.86 is: 117,909.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,061.52 : 216,745.20 = 85,441.86 : x
  2. Step 2: Convert to fraction form
    157,061.52/216,745.20 = 85,441.86/x
  3. Step 3: Cross multiply
    157,061.52x = 216,745.20 × 85,441.86
  4. Step 4: Simplify right side
    157,061.52x = 18,519,113,034.07
  5. Step 5: Solve for x
    x = 18,519,113,034.07/157,061.52
  6. Step 6: Final answer
    x = 117,909.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.