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Finding the Fourth Proportional to 136,654.77, 188,583.87 and 76,223.86

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Solution

The fourth proportional to 136,654.77, 188,583.87 and 76,223.86 is: 105,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,654.77 : 188,583.87 = 76,223.86 : x
  2. Step 2: Convert to fraction form
    136,654.77/188,583.87 = 76,223.86/x
  3. Step 3: Cross multiply
    136,654.77x = 188,583.87 × 76,223.86
  4. Step 4: Simplify right side
    136,654.77x = 14,374,590,635.53
  5. Step 5: Solve for x
    x = 14,374,590,635.53/136,654.77
  6. Step 6: Final answer
    x = 105,189.09

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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.