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Finding the Fourth Proportional to 135,820.68, 187,423.65 and 75,388.38

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Solution

The fourth proportional to 135,820.68, 187,423.65 and 75,388.38 is: 104,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,820.68 : 187,423.65 = 75,388.38 : x
  2. Step 2: Convert to fraction form
    135,820.68/187,423.65 = 75,388.38/x
  3. Step 3: Cross multiply
    135,820.68x = 187,423.65 × 75,388.38
  4. Step 4: Simplify right side
    135,820.68x = 14,129,565,347.19
  5. Step 5: Solve for x
    x = 14,129,565,347.19/135,820.68
  6. Step 6: Final answer
    x = 104,031.03

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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.