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Finding the Fourth Proportional to 102,477.38, 141,419.61 and 57,153.86

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Solution

The fourth proportional to 102,477.38, 141,419.61 and 57,153.86 is: 78,872.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,477.38 : 141,419.61 = 57,153.86 : x
  2. Step 2: Convert to fraction form
    102,477.38/141,419.61 = 57,153.86/x
  3. Step 3: Cross multiply
    102,477.38x = 141,419.61 × 57,153.86
  4. Step 4: Simplify right side
    102,477.38x = 8,082,676,591.19
  5. Step 5: Solve for x
    x = 8,082,676,591.19/102,477.38
  6. Step 6: Final answer
    x = 78,872.79

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Why These Related Problems?

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