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Finding the Fourth Proportional to 137,203.98, 205,805.98 and 90,445.92

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Solution

The fourth proportional to 137,203.98, 205,805.98 and 90,445.92 is: 135,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,203.98 : 205,805.98 = 90,445.92 : x
  2. Step 2: Convert to fraction form
    137,203.98/205,805.98 = 90,445.92/x
  3. Step 3: Cross multiply
    137,203.98x = 205,805.98 × 90,445.92
  4. Step 4: Simplify right side
    137,203.98x = 18,614,311,202.60
  5. Step 5: Solve for x
    x = 18,614,311,202.60/137,203.98
  6. Step 6: Final answer
    x = 135,668.89

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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.