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Finding the Fourth Proportional to 175,651.81, 242,404.20 and 106,717.81

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Solution

The fourth proportional to 175,651.81, 242,404.20 and 106,717.81 is: 147,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,651.81 : 242,404.20 = 106,717.81 : x
  2. Step 2: Convert to fraction form
    175,651.81/242,404.20 = 106,717.81/x
  3. Step 3: Cross multiply
    175,651.81x = 242,404.20 × 106,717.81
  4. Step 4: Simplify right side
    175,651.81x = 25,868,845,358.80
  5. Step 5: Solve for x
    x = 25,868,845,358.80/175,651.81
  6. Step 6: Final answer
    x = 147,273.43

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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.