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Finding the Fourth Proportional to 135,794.68, 187,398.70 and 75,369.24

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Solution

The fourth proportional to 135,794.68, 187,398.70 and 75,369.24 is: 104,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,794.68 : 187,398.70 = 75,369.24 : x
  2. Step 2: Convert to fraction form
    135,794.68/187,398.70 = 75,369.24/x
  3. Step 3: Cross multiply
    135,794.68x = 187,398.70 × 75,369.24
  4. Step 4: Simplify right side
    135,794.68x = 14,124,097,407.56
  5. Step 5: Solve for x
    x = 14,124,097,407.56/135,794.68
  6. Step 6: Final answer
    x = 104,010.68

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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.