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Finding the Fourth Proportional to 194,859.30, 292,228.20 and 76,566.90

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Solution

The fourth proportional to 194,859.30, 292,228.20 and 76,566.90 is: 114,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,859.30 : 292,228.20 = 76,566.90 : x
  2. Step 2: Convert to fraction form
    194,859.30/292,228.20 = 76,566.90/x
  3. Step 3: Cross multiply
    194,859.30x = 292,228.20 × 76,566.90
  4. Step 4: Simplify right side
    194,859.30x = 22,375,007,366.58
  5. Step 5: Solve for x
    x = 22,375,007,366.58/194,859.30
  6. Step 6: Final answer
    x = 114,826.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.