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Finding the Fourth Proportional to 129,220.58, 193,962.09 and 91,822.88

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Solution

The fourth proportional to 129,220.58, 193,962.09 and 91,822.88 is: 137,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,220.58 : 193,962.09 = 91,822.88 : x
  2. Step 2: Convert to fraction form
    129,220.58/193,962.09 = 91,822.88/x
  3. Step 3: Cross multiply
    129,220.58x = 193,962.09 × 91,822.88
  4. Step 4: Simplify right side
    129,220.58x = 17,810,158,543.86
  5. Step 5: Solve for x
    x = 17,810,158,543.86/129,220.58
  6. Step 6: Final answer
    x = 137,827.57

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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.