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Finding the Fourth Proportional to 182,972.70, 274,329.45 and 83,180.70

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Solution

The fourth proportional to 182,972.70, 274,329.45 and 83,180.70 is: 124,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,972.70 : 274,329.45 = 83,180.70 : x
  2. Step 2: Convert to fraction form
    182,972.70/274,329.45 = 83,180.70/x
  3. Step 3: Cross multiply
    182,972.70x = 274,329.45 × 83,180.70
  4. Step 4: Simplify right side
    182,972.70x = 22,818,915,681.62
  5. Step 5: Solve for x
    x = 22,818,915,681.62/182,972.70
  6. Step 6: Final answer
    x = 124,712.13

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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.