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Finding the Fourth Proportional to 122,123.68, 183,211.64 and 37,882.02

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Solution

The fourth proportional to 122,123.68, 183,211.64 and 37,882.02 is: 56,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,123.68 : 183,211.64 = 37,882.02 : x
  2. Step 2: Convert to fraction form
    122,123.68/183,211.64 = 37,882.02/x
  3. Step 3: Cross multiply
    122,123.68x = 183,211.64 × 37,882.02
  4. Step 4: Simplify right side
    122,123.68x = 6,940,427,010.71
  5. Step 5: Solve for x
    x = 6,940,427,010.71/122,123.68
  6. Step 6: Final answer
    x = 56,831.13

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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.