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Finding the Fourth Proportional to 135,952.30, 187,644.16 and 75,543.70

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Solution

The fourth proportional to 135,952.30, 187,644.16 and 75,543.70 is: 104,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,952.30 : 187,644.16 = 75,543.70 : x
  2. Step 2: Convert to fraction form
    135,952.30/187,644.16 = 75,543.70/x
  3. Step 3: Cross multiply
    135,952.30x = 187,644.16 × 75,543.70
  4. Step 4: Simplify right side
    135,952.30x = 14,175,334,129.79
  5. Step 5: Solve for x
    x = 14,175,334,129.79/135,952.30
  6. Step 6: Final answer
    x = 104,266.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.