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Finding the Fourth Proportional to 102,234, 141,082.96 and 57,522

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Solution

The fourth proportional to 102,234, 141,082.96 and 57,522 is: 79,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,234 : 141,082.96 = 57,522 : x
  2. Step 2: Convert to fraction form
    102,234/141,082.96 = 57,522/x
  3. Step 3: Cross multiply
    102,234x = 141,082.96 × 57,522
  4. Step 4: Simplify right side
    102,234x = 8,115,374,025.12
  5. Step 5: Solve for x
    x = 8,115,374,025.12/102,234
  6. Step 6: Final answer
    x = 79,380.38

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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.