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Finding the Fourth Proportional to 252,403.60, 378,605.40 and 181,544.80

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Solution

The fourth proportional to 252,403.60, 378,605.40 and 181,544.80 is: 272,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,403.60 : 378,605.40 = 181,544.80 : x
  2. Step 2: Convert to fraction form
    252,403.60/378,605.40 = 181,544.80/x
  3. Step 3: Cross multiply
    252,403.60x = 378,605.40 × 181,544.80
  4. Step 4: Simplify right side
    252,403.60x = 68,733,841,621.92
  5. Step 5: Solve for x
    x = 68,733,841,621.92/252,403.60
  6. Step 6: Final answer
    x = 272,317.20

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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.