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Finding the Fourth Proportional to 254,403.60, 381,605.40 and 77,035.20

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Solution

The fourth proportional to 254,403.60, 381,605.40 and 77,035.20 is: 115,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,403.60 : 381,605.40 = 77,035.20 : x
  2. Step 2: Convert to fraction form
    254,403.60/381,605.40 = 77,035.20/x
  3. Step 3: Cross multiply
    254,403.60x = 381,605.40 × 77,035.20
  4. Step 4: Simplify right side
    254,403.60x = 29,397,048,310.08
  5. Step 5: Solve for x
    x = 29,397,048,310.08/254,403.60
  6. Step 6: Final answer
    x = 115,552.80

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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.