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Finding the Fourth Proportional to 106,898.65, 160,342.17 and 40,337.17

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Solution

The fourth proportional to 106,898.65, 160,342.17 and 40,337.17 is: 60,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,898.65 : 160,342.17 = 40,337.17 : x
  2. Step 2: Convert to fraction form
    106,898.65/160,342.17 = 40,337.17/x
  3. Step 3: Cross multiply
    106,898.65x = 160,342.17 × 40,337.17
  4. Step 4: Simplify right side
    106,898.65x = 6,467,749,369.46
  5. Step 5: Solve for x
    x = 6,467,749,369.46/106,898.65
  6. Step 6: Final answer
    x = 60,503.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.