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Finding the Fourth Proportional to 135,706.44, 187,276.02 and 75,281.01

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Solution

The fourth proportional to 135,706.44, 187,276.02 and 75,281.01 is: 103,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,706.44 : 187,276.02 = 75,281.01 : x
  2. Step 2: Convert to fraction form
    135,706.44/187,276.02 = 75,281.01/x
  3. Step 3: Cross multiply
    135,706.44x = 187,276.02 × 75,281.01
  4. Step 4: Simplify right side
    135,706.44x = 14,098,327,934.38
  5. Step 5: Solve for x
    x = 14,098,327,934.38/135,706.44
  6. Step 6: Final answer
    x = 103,888.42

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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.