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Finding the Fourth Proportional to 136,654.83, 188,583.96 and 76,223.92

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Solution

The fourth proportional to 136,654.83, 188,583.96 and 76,223.92 is: 105,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,654.83 : 188,583.96 = 76,223.92 : x
  2. Step 2: Convert to fraction form
    136,654.83/188,583.96 = 76,223.92/x
  3. Step 3: Cross multiply
    136,654.83x = 188,583.96 × 76,223.92
  4. Step 4: Simplify right side
    136,654.83x = 14,374,608,680.32
  5. Step 5: Solve for x
    x = 14,374,608,680.32/136,654.83
  6. Step 6: Final answer
    x = 105,189.17

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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.