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Finding the Fourth Proportional to 138,465.20, 191,083.17 and 78,024.26

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Solution

The fourth proportional to 138,465.20, 191,083.17 and 78,024.26 is: 107,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,465.20 : 191,083.17 = 78,024.26 : x
  2. Step 2: Convert to fraction form
    138,465.20/191,083.17 = 78,024.26/x
  3. Step 3: Cross multiply
    138,465.20x = 191,083.17 × 78,024.26
  4. Step 4: Simplify right side
    138,465.20x = 14,909,122,937.70
  5. Step 5: Solve for x
    x = 14,909,122,937.70/138,465.20
  6. Step 6: Final answer
    x = 107,674.15

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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.