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Finding the Fourth Proportional to 138,539.17, 191,180.23 and 78,109.28

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Solution

The fourth proportional to 138,539.17, 191,180.23 and 78,109.28 is: 107,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,539.17 : 191,180.23 = 78,109.28 : x
  2. Step 2: Convert to fraction form
    138,539.17/191,180.23 = 78,109.28/x
  3. Step 3: Cross multiply
    138,539.17x = 191,180.23 × 78,109.28
  4. Step 4: Simplify right side
    138,539.17x = 14,932,950,398.21
  5. Step 5: Solve for x
    x = 14,932,950,398.21/138,539.17
  6. Step 6: Final answer
    x = 107,788.65

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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.