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Finding the Fourth Proportional to 78,202.92, 107,834.42 and 58,097.10

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Solution

The fourth proportional to 78,202.92, 107,834.42 and 58,097.10 is: 80,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,202.92 : 107,834.42 = 58,097.10 : x
  2. Step 2: Convert to fraction form
    78,202.92/107,834.42 = 58,097.10/x
  3. Step 3: Cross multiply
    78,202.92x = 107,834.42 × 58,097.10
  4. Step 4: Simplify right side
    78,202.92x = 6,264,867,082.18
  5. Step 5: Solve for x
    x = 6,264,867,082.18/78,202.92
  6. Step 6: Final answer
    x = 80,110.40

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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.