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Finding the Fourth Proportional to 71,165.48, 106,748.08 and 66,835.24

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Solution

The fourth proportional to 71,165.48, 106,748.08 and 66,835.24 is: 100,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,165.48 : 106,748.08 = 66,835.24 : x
  2. Step 2: Convert to fraction form
    71,165.48/106,748.08 = 66,835.24/x
  3. Step 3: Cross multiply
    71,165.48x = 106,748.08 × 66,835.24
  4. Step 4: Simplify right side
    71,165.48x = 7,134,533,546.34
  5. Step 5: Solve for x
    x = 7,134,533,546.34/71,165.48
  6. Step 6: Final answer
    x = 100,252.73

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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.