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Finding the Fourth Proportional to 130,993.92, 196,471.71 and 64,416.15

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Solution

The fourth proportional to 130,993.92, 196,471.71 and 64,416.15 is: 96,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,993.92 : 196,471.71 = 64,416.15 : x
  2. Step 2: Convert to fraction form
    130,993.92/196,471.71 = 64,416.15/x
  3. Step 3: Cross multiply
    130,993.92x = 196,471.71 × 64,416.15
  4. Step 4: Simplify right side
    130,993.92x = 12,655,951,142.12
  5. Step 5: Solve for x
    x = 12,655,951,142.12/130,993.92
  6. Step 6: Final answer
    x = 96,614.80

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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.