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Finding the Fourth Proportional to 280,500.96, 387,306 and 185,143.20

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Solution

The fourth proportional to 280,500.96, 387,306 and 185,143.20 is: 255,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,500.96 : 387,306 = 185,143.20 : x
  2. Step 2: Convert to fraction form
    280,500.96/387,306 = 185,143.20/x
  3. Step 3: Cross multiply
    280,500.96x = 387,306 × 185,143.20
  4. Step 4: Simplify right side
    280,500.96x = 71,707,072,219.20
  5. Step 5: Solve for x
    x = 71,707,072,219.20/280,500.96
  6. Step 6: Final answer
    x = 255,639.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.