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Finding the Fourth Proportional to 113,524.64, 156,580.80 and 75,214.88

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Solution

The fourth proportional to 113,524.64, 156,580.80 and 75,214.88 is: 103,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,524.64 : 156,580.80 = 75,214.88 : x
  2. Step 2: Convert to fraction form
    113,524.64/156,580.80 = 75,214.88/x
  3. Step 3: Cross multiply
    113,524.64x = 156,580.80 × 75,214.88
  4. Step 4: Simplify right side
    113,524.64x = 11,777,206,082.30
  5. Step 5: Solve for x
    x = 11,777,206,082.30/113,524.64
  6. Step 6: Final answer
    x = 103,741.41

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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.