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Finding the Fourth Proportional to 136,093.38, 187,808.86 and 76,477.38

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Solution

The fourth proportional to 136,093.38, 187,808.86 and 76,477.38 is: 105,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,093.38 : 187,808.86 = 76,477.38 : x
  2. Step 2: Convert to fraction form
    136,093.38/187,808.86 = 76,477.38/x
  3. Step 3: Cross multiply
    136,093.38x = 187,808.86 × 76,477.38
  4. Step 4: Simplify right side
    136,093.38x = 14,363,129,553.59
  5. Step 5: Solve for x
    x = 14,363,129,553.59/136,093.38
  6. Step 6: Final answer
    x = 105,538.78

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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.