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Finding the Fourth Proportional to 137,221.14, 205,619.10 and 95,182.92

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Solution

The fourth proportional to 137,221.14, 205,619.10 and 95,182.92 is: 142,626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,221.14 : 205,619.10 = 95,182.92 : x
  2. Step 2: Convert to fraction form
    137,221.14/205,619.10 = 95,182.92/x
  3. Step 3: Cross multiply
    137,221.14x = 205,619.10 × 95,182.92
  4. Step 4: Simplify right side
    137,221.14x = 19,571,426,345.77
  5. Step 5: Solve for x
    x = 19,571,426,345.77/137,221.14
  6. Step 6: Final answer
    x = 142,626.90

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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.