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Finding the Fourth Proportional to 106,397.34, 146,838.68 and 79,493.15

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Solution

The fourth proportional to 106,397.34, 146,838.68 and 79,493.15 is: 109,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,397.34 : 146,838.68 = 79,493.15 : x
  2. Step 2: Convert to fraction form
    106,397.34/146,838.68 = 79,493.15/x
  3. Step 3: Cross multiply
    106,397.34x = 146,838.68 × 79,493.15
  4. Step 4: Simplify right side
    106,397.34x = 11,672,668,083.38
  5. Step 5: Solve for x
    x = 11,672,668,083.38/106,397.34
  6. Step 6: Final answer
    x = 109,708.27

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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.