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Finding the Fourth Proportional to 113,993.27, 157,310.87 and 65,594.24

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Solution

The fourth proportional to 113,993.27, 157,310.87 and 65,594.24 is: 90,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,993.27 : 157,310.87 = 65,594.24 : x
  2. Step 2: Convert to fraction form
    113,993.27/157,310.87 = 65,594.24/x
  3. Step 3: Cross multiply
    113,993.27x = 157,310.87 × 65,594.24
  4. Step 4: Simplify right side
    113,993.27x = 10,318,686,961.39
  5. Step 5: Solve for x
    x = 10,318,686,961.39/113,993.27
  6. Step 6: Final answer
    x = 90,520.14

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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.