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Finding the Fourth Proportional to 136,257.96, 188,034.18 and 76,641.96

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Solution

The fourth proportional to 136,257.96, 188,034.18 and 76,641.96 is: 105,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,257.96 : 188,034.18 = 76,641.96 : x
  2. Step 2: Convert to fraction form
    136,257.96/188,034.18 = 76,641.96/x
  3. Step 3: Cross multiply
    136,257.96x = 188,034.18 × 76,641.96
  4. Step 4: Simplify right side
    136,257.96x = 14,411,308,102.19
  5. Step 5: Solve for x
    x = 14,411,308,102.19/136,257.96
  6. Step 6: Final answer
    x = 105,764.89

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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.