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Finding the Fourth Proportional to 129,122.09, 193,323.87 and 65,805.69

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Solution

The fourth proportional to 129,122.09, 193,323.87 and 65,805.69 is: 98,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,122.09 : 193,323.87 = 65,805.69 : x
  2. Step 2: Convert to fraction form
    129,122.09/193,323.87 = 65,805.69/x
  3. Step 3: Cross multiply
    129,122.09x = 193,323.87 × 65,805.69
  4. Step 4: Simplify right side
    129,122.09x = 12,721,810,658.82
  5. Step 5: Solve for x
    x = 12,721,810,658.82/129,122.09
  6. Step 6: Final answer
    x = 98,525.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.