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Finding the Fourth Proportional to 149,699.90, 224,221.80 and 133,078.70

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Solution

The fourth proportional to 149,699.90, 224,221.80 and 133,078.70 is: 199,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,699.90 : 224,221.80 = 133,078.70 : x
  2. Step 2: Convert to fraction form
    149,699.90/224,221.80 = 133,078.70/x
  3. Step 3: Cross multiply
    149,699.90x = 224,221.80 × 133,078.70
  4. Step 4: Simplify right side
    149,699.90x = 29,839,145,655.66
  5. Step 5: Solve for x
    x = 29,839,145,655.66/149,699.90
  6. Step 6: Final answer
    x = 199,326.42

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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.