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Finding the Fourth Proportional to 272,951.46, 409,500.88 and 83,406.63

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Solution

The fourth proportional to 272,951.46, 409,500.88 and 83,406.63 is: 125,132.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,951.46 : 409,500.88 = 83,406.63 : x
  2. Step 2: Convert to fraction form
    272,951.46/409,500.88 = 83,406.63/x
  3. Step 3: Cross multiply
    272,951.46x = 409,500.88 × 83,406.63
  4. Step 4: Simplify right side
    272,951.46x = 34,155,088,382.83
  5. Step 5: Solve for x
    x = 34,155,088,382.83/272,951.46
  6. Step 6: Final answer
    x = 125,132.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.