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Finding the Fourth Proportional to 106,903.20, 160,354.80 and 96,016.80

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Solution

The fourth proportional to 106,903.20, 160,354.80 and 96,016.80 is: 144,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,903.20 : 160,354.80 = 96,016.80 : x
  2. Step 2: Convert to fraction form
    106,903.20/160,354.80 = 96,016.80/x
  3. Step 3: Cross multiply
    106,903.20x = 160,354.80 × 96,016.80
  4. Step 4: Simplify right side
    106,903.20x = 15,396,754,760.64
  5. Step 5: Solve for x
    x = 15,396,754,760.64/106,903.20
  6. Step 6: Final answer
    x = 144,025.20

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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.