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Finding the Fourth Proportional to 242,403.20, 363,604.80 and 76,169.60

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Solution

The fourth proportional to 242,403.20, 363,604.80 and 76,169.60 is: 114,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,403.20 : 363,604.80 = 76,169.60 : x
  2. Step 2: Convert to fraction form
    242,403.20/363,604.80 = 76,169.60/x
  3. Step 3: Cross multiply
    242,403.20x = 363,604.80 × 76,169.60
  4. Step 4: Simplify right side
    242,403.20x = 27,695,632,174.08
  5. Step 5: Solve for x
    x = 27,695,632,174.08/242,403.20
  6. Step 6: Final answer
    x = 114,254.40

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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.