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Finding the Fourth Proportional to 276,095.16, 381,009.42 and 156,863.16

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Solution

The fourth proportional to 276,095.16, 381,009.42 and 156,863.16 is: 216,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,095.16 : 381,009.42 = 156,863.16 : x
  2. Step 2: Convert to fraction form
    276,095.16/381,009.42 = 156,863.16/x
  3. Step 3: Cross multiply
    276,095.16x = 381,009.42 × 156,863.16
  4. Step 4: Simplify right side
    276,095.16x = 59,766,341,610.97
  5. Step 5: Solve for x
    x = 59,766,341,610.97/276,095.16
  6. Step 6: Final answer
    x = 216,470.08

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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.