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Finding the Fourth Proportional to 280,542.40, 387,148 and 153,217.96

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Solution

The fourth proportional to 280,542.40, 387,148 and 153,217.96 is: 211,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,542.40 : 387,148 = 153,217.96 : x
  2. Step 2: Convert to fraction form
    280,542.40/387,148 = 153,217.96/x
  3. Step 3: Cross multiply
    280,542.40x = 387,148 × 153,217.96
  4. Step 4: Simplify right side
    280,542.40x = 59,318,026,778.08
  5. Step 5: Solve for x
    x = 59,318,026,778.08/280,542.40
  6. Step 6: Final answer
    x = 211,440.51

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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.