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Finding the Fourth Proportional to 138,658.69, 191,349.03 and 78,242.14

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Solution

The fourth proportional to 138,658.69, 191,349.03 and 78,242.14 is: 107,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,658.69 : 191,349.03 = 78,242.14 : x
  2. Step 2: Convert to fraction form
    138,658.69/191,349.03 = 78,242.14/x
  3. Step 3: Cross multiply
    138,658.69x = 191,349.03 × 78,242.14
  4. Step 4: Simplify right side
    138,658.69x = 14,971,557,594.12
  5. Step 5: Solve for x
    x = 14,971,557,594.12/138,658.69
  6. Step 6: Final answer
    x = 107,974.17

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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.