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Finding the Fourth Proportional to 134,494.38, 185,602.77 and 80,780.31

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Solution

The fourth proportional to 134,494.38, 185,602.77 and 80,780.31 is: 111,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,494.38 : 185,602.77 = 80,780.31 : x
  2. Step 2: Convert to fraction form
    134,494.38/185,602.77 = 80,780.31/x
  3. Step 3: Cross multiply
    134,494.38x = 185,602.77 × 80,780.31
  4. Step 4: Simplify right side
    134,494.38x = 14,993,049,297.46
  5. Step 5: Solve for x
    x = 14,993,049,297.46/134,494.38
  6. Step 6: Final answer
    x = 111,477.14

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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.