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Finding the Fourth Proportional to 313,143.38, 432,091.92 and 175,315.18

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Solution

The fourth proportional to 313,143.38, 432,091.92 and 175,315.18 is: 241,909.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,143.38 : 432,091.92 = 175,315.18 : x
  2. Step 2: Convert to fraction form
    313,143.38/432,091.92 = 175,315.18/x
  3. Step 3: Cross multiply
    313,143.38x = 432,091.92 × 175,315.18
  4. Step 4: Simplify right side
    313,143.38x = 75,752,272,731.35
  5. Step 5: Solve for x
    x = 75,752,272,731.35/313,143.38
  6. Step 6: Final answer
    x = 241,909.23

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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.