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Finding the Fourth Proportional to 280,410.39, 386,951.69 and 153,061.38

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Solution

The fourth proportional to 280,410.39, 386,951.69 and 153,061.38 is: 211,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,410.39 : 386,951.69 = 153,061.38 : x
  2. Step 2: Convert to fraction form
    280,410.39/386,951.69 = 153,061.38/x
  3. Step 3: Cross multiply
    280,410.39x = 386,951.69 × 153,061.38
  4. Step 4: Simplify right side
    280,410.39x = 59,227,359,664.73
  5. Step 5: Solve for x
    x = 59,227,359,664.73/280,410.39
  6. Step 6: Final answer
    x = 211,216.71

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Why These Related Problems?

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