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Finding the Fourth Proportional to 113,599.10, 156,767.36 and 65,197.16

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Solution

The fourth proportional to 113,599.10, 156,767.36 and 65,197.16 is: 89,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,599.10 : 156,767.36 = 65,197.16 : x
  2. Step 2: Convert to fraction form
    113,599.10/156,767.36 = 65,197.16/x
  3. Step 3: Cross multiply
    113,599.10x = 156,767.36 × 65,197.16
  4. Step 4: Simplify right side
    113,599.10x = 10,220,786,652.70
  5. Step 5: Solve for x
    x = 10,220,786,652.70/113,599.10
  6. Step 6: Final answer
    x = 89,972.43

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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.