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Finding the Fourth Proportional to 134,380.38, 185,452.58 and 77,029.24

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Solution

The fourth proportional to 134,380.38, 185,452.58 and 77,029.24 is: 106,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,380.38 : 185,452.58 = 77,029.24 : x
  2. Step 2: Convert to fraction form
    134,380.38/185,452.58 = 77,029.24/x
  3. Step 3: Cross multiply
    134,380.38x = 185,452.58 × 77,029.24
  4. Step 4: Simplify right side
    134,380.38x = 14,285,271,293.44
  5. Step 5: Solve for x
    x = 14,285,271,293.44/134,380.38
  6. Step 6: Final answer
    x = 106,304.74

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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.