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Finding the Fourth Proportional to 149,932, 224,723.04 and 83,340.28

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Solution

The fourth proportional to 149,932, 224,723.04 and 83,340.28 is: 124,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,932 : 224,723.04 = 83,340.28 : x
  2. Step 2: Convert to fraction form
    149,932/224,723.04 = 83,340.28/x
  3. Step 3: Cross multiply
    149,932x = 224,723.04 × 83,340.28
  4. Step 4: Simplify right side
    149,932x = 18,728,481,076.05
  5. Step 5: Solve for x
    x = 18,728,481,076.05/149,932
  6. Step 6: Final answer
    x = 124,913.17

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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.