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Finding the Fourth Proportional to 122,123.80, 183,211.85 and 37,882.14

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Solution

The fourth proportional to 122,123.80, 183,211.85 and 37,882.14 is: 56,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,123.80 : 183,211.85 = 37,882.14 : x
  2. Step 2: Convert to fraction form
    122,123.80/183,211.85 = 37,882.14/x
  3. Step 3: Cross multiply
    122,123.80x = 183,211.85 × 37,882.14
  4. Step 4: Simplify right side
    122,123.80x = 6,940,455,845.89
  5. Step 5: Solve for x
    x = 6,940,455,845.89/122,123.80
  6. Step 6: Final answer
    x = 56,831.31

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1.5x scale

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.