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Finding the Fourth Proportional to 135,808.38, 187,412.06 and 75,377.25

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Solution

The fourth proportional to 135,808.38, 187,412.06 and 75,377.25 is: 104,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,808.38 : 187,412.06 = 75,377.25 : x
  2. Step 2: Convert to fraction form
    135,808.38/187,412.06 = 75,377.25/x
  3. Step 3: Cross multiply
    135,808.38x = 187,412.06 × 75,377.25
  4. Step 4: Simplify right side
    135,808.38x = 14,126,605,888.08
  5. Step 5: Solve for x
    x = 14,126,605,888.08/135,808.38
  6. Step 6: Final answer
    x = 104,018.66

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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.