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Finding the Fourth Proportional to 138,458.85, 191,078.83 and 78,032.04

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Solution

The fourth proportional to 138,458.85, 191,078.83 and 78,032.04 is: 107,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,458.85 : 191,078.83 = 78,032.04 : x
  2. Step 2: Convert to fraction form
    138,458.85/191,078.83 = 78,032.04/x
  3. Step 3: Cross multiply
    138,458.85x = 191,078.83 × 78,032.04
  4. Step 4: Simplify right side
    138,458.85x = 14,910,270,905.71
  5. Step 5: Solve for x
    x = 14,910,270,905.71/138,458.85
  6. Step 6: Final answer
    x = 107,687.38

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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.