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Finding the Fourth Proportional to 80,714.30, 120,783.45 and 51,146.30

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Solution

The fourth proportional to 80,714.30, 120,783.45 and 51,146.30 is: 76,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,714.30 : 120,783.45 = 51,146.30 : x
  2. Step 2: Convert to fraction form
    80,714.30/120,783.45 = 51,146.30/x
  3. Step 3: Cross multiply
    80,714.30x = 120,783.45 × 51,146.30
  4. Step 4: Simplify right side
    80,714.30x = 6,177,626,568.74
  5. Step 5: Solve for x
    x = 6,177,626,568.74/80,714.30
  6. Step 6: Final answer
    x = 76,536.95

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1.5x scale

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.