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Finding the Fourth Proportional to 185,714.32, 256,290.96 and 100,836.88

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Solution

The fourth proportional to 185,714.32, 256,290.96 and 100,836.88 is: 139,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,714.32 : 256,290.96 = 100,836.88 : x
  2. Step 2: Convert to fraction form
    185,714.32/256,290.96 = 100,836.88/x
  3. Step 3: Cross multiply
    185,714.32x = 256,290.96 × 100,836.88
  4. Step 4: Simplify right side
    185,714.32x = 25,843,580,778.60
  5. Step 5: Solve for x
    x = 25,843,580,778.60/185,714.32
  6. Step 6: Final answer
    x = 139,157.72

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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.