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Finding the Fourth Proportional to 150,123.70, 207,169.17 and 83,056.18

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Solution

The fourth proportional to 150,123.70, 207,169.17 and 83,056.18 is: 114,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,123.70 : 207,169.17 = 83,056.18 : x
  2. Step 2: Convert to fraction form
    150,123.70/207,169.17 = 83,056.18/x
  3. Step 3: Cross multiply
    150,123.70x = 207,169.17 × 83,056.18
  4. Step 4: Simplify right side
    150,123.70x = 17,206,679,873.97
  5. Step 5: Solve for x
    x = 17,206,679,873.97/150,123.70
  6. Step 6: Final answer
    x = 114,616.68

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