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Finding the Fourth Proportional to 135,649, 187,195.62 and 76,033

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Solution

The fourth proportional to 135,649, 187,195.62 and 76,033 is: 104,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,649 : 187,195.62 = 76,033 : x
  2. Step 2: Convert to fraction form
    135,649/187,195.62 = 76,033/x
  3. Step 3: Cross multiply
    135,649x = 187,195.62 × 76,033
  4. Step 4: Simplify right side
    135,649x = 14,233,044,575.46
  5. Step 5: Solve for x
    x = 14,233,044,575.46/135,649
  6. Step 6: Final answer
    x = 104,925.54

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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.