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Finding the Fourth Proportional to 92,294.60, 138,401.40 and 42,358.10

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Solution

The fourth proportional to 92,294.60, 138,401.40 and 42,358.10 is: 63,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,294.60 : 138,401.40 = 42,358.10 : x
  2. Step 2: Convert to fraction form
    92,294.60/138,401.40 = 42,358.10/x
  3. Step 3: Cross multiply
    92,294.60x = 138,401.40 × 42,358.10
  4. Step 4: Simplify right side
    92,294.60x = 5,862,420,341.34
  5. Step 5: Solve for x
    x = 5,862,420,341.34/92,294.60
  6. Step 6: Final answer
    x = 63,518.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.