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Finding the Fourth Proportional to 242,259.20, 363,453.60 and 172,275.20

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Solution

The fourth proportional to 242,259.20, 363,453.60 and 172,275.20 is: 258,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,259.20 : 363,453.60 = 172,275.20 : x
  2. Step 2: Convert to fraction form
    242,259.20/363,453.60 = 172,275.20/x
  3. Step 3: Cross multiply
    242,259.20x = 363,453.60 × 172,275.20
  4. Step 4: Simplify right side
    242,259.20x = 62,614,041,630.72
  5. Step 5: Solve for x
    x = 62,614,041,630.72/242,259.20
  6. Step 6: Final answer
    x = 258,458.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.