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Finding the Fourth Proportional to 138,513.30, 191,165.19 and 78,095.58

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Solution

The fourth proportional to 138,513.30, 191,165.19 and 78,095.58 is: 107,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,513.30 : 191,165.19 = 78,095.58 : x
  2. Step 2: Convert to fraction form
    138,513.30/191,165.19 = 78,095.58/x
  3. Step 3: Cross multiply
    138,513.30x = 191,165.19 × 78,095.58
  4. Step 4: Simplify right side
    138,513.30x = 14,929,156,388.86
  5. Step 5: Solve for x
    x = 14,929,156,388.86/138,513.30
  6. Step 6: Final answer
    x = 107,781.39

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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.