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Finding the Fourth Proportional to 224,006.80, 336,163.80 and 99,437.20

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Solution

The fourth proportional to 224,006.80, 336,163.80 and 99,437.20 is: 149,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,006.80 : 336,163.80 = 99,437.20 : x
  2. Step 2: Convert to fraction form
    224,006.80/336,163.80 = 99,437.20/x
  3. Step 3: Cross multiply
    224,006.80x = 336,163.80 × 99,437.20
  4. Step 4: Simplify right side
    224,006.80x = 33,427,187,013.36
  5. Step 5: Solve for x
    x = 33,427,187,013.36/224,006.80
  6. Step 6: Final answer
    x = 149,223.98

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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.