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Finding the Fourth Proportional to 102,508.16, 141,472.20 and 57,201.86

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Solution

The fourth proportional to 102,508.16, 141,472.20 and 57,201.86 is: 78,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,508.16 : 141,472.20 = 57,201.86 : x
  2. Step 2: Convert to fraction form
    102,508.16/141,472.20 = 57,201.86/x
  3. Step 3: Cross multiply
    102,508.16x = 141,472.20 × 57,201.86
  4. Step 4: Simplify right side
    102,508.16x = 8,092,472,270.93
  5. Step 5: Solve for x
    x = 8,092,472,270.93/102,508.16
  6. Step 6: Final answer
    x = 78,944.67

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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.