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Finding the Fourth Proportional to 113,714.56, 156,926.80 and 63,416.80

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Solution

The fourth proportional to 113,714.56, 156,926.80 and 63,416.80 is: 87,515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,714.56 : 156,926.80 = 63,416.80 : x
  2. Step 2: Convert to fraction form
    113,714.56/156,926.80 = 63,416.80/x
  3. Step 3: Cross multiply
    113,714.56x = 156,926.80 × 63,416.80
  4. Step 4: Simplify right side
    113,714.56x = 9,951,795,490.24
  5. Step 5: Solve for x
    x = 9,951,795,490.24/113,714.56
  6. Step 6: Final answer
    x = 87,515.58

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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.