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Finding the Fourth Proportional to 261,429.30, 391,159.80 and 172,855.80

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Solution

The fourth proportional to 261,429.30, 391,159.80 and 172,855.80 is: 258,632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,429.30 : 391,159.80 = 172,855.80 : x
  2. Step 2: Convert to fraction form
    261,429.30/391,159.80 = 172,855.80/x
  3. Step 3: Cross multiply
    261,429.30x = 391,159.80 × 172,855.80
  4. Step 4: Simplify right side
    261,429.30x = 67,614,240,156.84
  5. Step 5: Solve for x
    x = 67,614,240,156.84/261,429.30
  6. Step 6: Final answer
    x = 258,632.98

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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.