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Finding the Fourth Proportional to 138,924.30, 208,386.45 and 133,092.30

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Solution

The fourth proportional to 138,924.30, 208,386.45 and 133,092.30 is: 199,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,924.30 : 208,386.45 = 133,092.30 : x
  2. Step 2: Convert to fraction form
    138,924.30/208,386.45 = 133,092.30/x
  3. Step 3: Cross multiply
    138,924.30x = 208,386.45 × 133,092.30
  4. Step 4: Simplify right side
    138,924.30x = 27,734,631,919.34
  5. Step 5: Solve for x
    x = 27,734,631,919.34/138,924.30
  6. Step 6: Final answer
    x = 199,638.45

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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.