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Finding the Fourth Proportional to 135,543.89, 187,051.61 and 75,115.50

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Solution

The fourth proportional to 135,543.89, 187,051.61 and 75,115.50 is: 103,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,543.89 : 187,051.61 = 75,115.50 : x
  2. Step 2: Convert to fraction form
    135,543.89/187,051.61 = 75,115.50/x
  3. Step 3: Cross multiply
    135,543.89x = 187,051.61 × 75,115.50
  4. Step 4: Simplify right side
    135,543.89x = 14,050,474,835.38
  5. Step 5: Solve for x
    x = 14,050,474,835.38/135,543.89
  6. Step 6: Final answer
    x = 103,659.97

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Why These Related Problems?

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