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Finding the Fourth Proportional to 321,105.65, 443,106.77 and 175,882.47

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Solution

The fourth proportional to 321,105.65, 443,106.77 and 175,882.47 is: 242,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,105.65 : 443,106.77 = 175,882.47 : x
  2. Step 2: Convert to fraction form
    321,105.65/443,106.77 = 175,882.47/x
  3. Step 3: Cross multiply
    321,105.65x = 443,106.77 × 175,882.47
  4. Step 4: Simplify right side
    321,105.65x = 77,934,712,301.91
  5. Step 5: Solve for x
    x = 77,934,712,301.91/321,105.65
  6. Step 6: Final answer
    x = 242,707.38

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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.