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Finding the Fourth Proportional to 135,005.40, 202,410.90 and 75,859.20

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Solution

The fourth proportional to 135,005.40, 202,410.90 and 75,859.20 is: 113,734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,005.40 : 202,410.90 = 75,859.20 : x
  2. Step 2: Convert to fraction form
    135,005.40/202,410.90 = 75,859.20/x
  3. Step 3: Cross multiply
    135,005.40x = 202,410.90 × 75,859.20
  4. Step 4: Simplify right side
    135,005.40x = 15,354,728,945.28
  5. Step 5: Solve for x
    x = 15,354,728,945.28/135,005.40
  6. Step 6: Final answer
    x = 113,734.18

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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.