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Finding the Fourth Proportional to 182,812.20, 274,088.70 and 83,020.20

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Solution

The fourth proportional to 182,812.20, 274,088.70 and 83,020.20 is: 124,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,812.20 : 274,088.70 = 83,020.20 : x
  2. Step 2: Convert to fraction form
    182,812.20/274,088.70 = 83,020.20/x
  3. Step 3: Cross multiply
    182,812.20x = 274,088.70 × 83,020.20
  4. Step 4: Simplify right side
    182,812.20x = 22,754,898,691.74
  5. Step 5: Solve for x
    x = 22,754,898,691.74/182,812.20
  6. Step 6: Final answer
    x = 124,471.44

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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.