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Finding the Fourth Proportional to 242,675.20, 364,085.70 and 172,691.20

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Solution

The fourth proportional to 242,675.20, 364,085.70 and 172,691.20 is: 259,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,675.20 : 364,085.70 = 172,691.20 : x
  2. Step 2: Convert to fraction form
    242,675.20/364,085.70 = 172,691.20/x
  3. Step 3: Cross multiply
    242,675.20x = 364,085.70 × 172,691.20
  4. Step 4: Simplify right side
    242,675.20x = 62,874,396,435.84
  5. Step 5: Solve for x
    x = 62,874,396,435.84/242,675.20
  6. Step 6: Final answer
    x = 259,088.68

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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.