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Finding the Fourth Proportional to 100,714.32, 138,974.76 and 58,264.92

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Solution

The fourth proportional to 100,714.32, 138,974.76 and 58,264.92 is: 80,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,714.32 : 138,974.76 = 58,264.92 : x
  2. Step 2: Convert to fraction form
    100,714.32/138,974.76 = 58,264.92/x
  3. Step 3: Cross multiply
    100,714.32x = 138,974.76 × 58,264.92
  4. Step 4: Simplify right side
    100,714.32x = 8,097,353,273.42
  5. Step 5: Solve for x
    x = 8,097,353,273.42/100,714.32
  6. Step 6: Final answer
    x = 80,399.22

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1.5x scale

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.