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Finding the Fourth Proportional to 149,472.64, 224,019.36 and 147,890.68

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Solution

The fourth proportional to 149,472.64, 224,019.36 and 147,890.68 is: 221,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,472.64 : 224,019.36 = 147,890.68 : x
  2. Step 2: Convert to fraction form
    149,472.64/224,019.36 = 147,890.68/x
  3. Step 3: Cross multiply
    149,472.64x = 224,019.36 × 147,890.68
  4. Step 4: Simplify right side
    149,472.64x = 33,130,375,483.56
  5. Step 5: Solve for x
    x = 33,130,375,483.56/149,472.64
  6. Step 6: Final answer
    x = 221,648.43

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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.