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Finding the Fourth Proportional to 138,667.80, 208,001.70 and 133,224.60

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Solution

The fourth proportional to 138,667.80, 208,001.70 and 133,224.60 is: 199,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,667.80 : 208,001.70 = 133,224.60 : x
  2. Step 2: Convert to fraction form
    138,667.80/208,001.70 = 133,224.60/x
  3. Step 3: Cross multiply
    138,667.80x = 208,001.70 × 133,224.60
  4. Step 4: Simplify right side
    138,667.80x = 27,710,943,281.82
  5. Step 5: Solve for x
    x = 27,710,943,281.82/138,667.80
  6. Step 6: Final answer
    x = 199,836.90

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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.