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Finding the Fourth Proportional to 221,509.20, 332,263.80 and 137,528.40

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Solution

The fourth proportional to 221,509.20, 332,263.80 and 137,528.40 is: 206,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,509.20 : 332,263.80 = 137,528.40 : x
  2. Step 2: Convert to fraction form
    221,509.20/332,263.80 = 137,528.40/x
  3. Step 3: Cross multiply
    221,509.20x = 332,263.80 × 137,528.40
  4. Step 4: Simplify right side
    221,509.20x = 45,695,708,791.92
  5. Step 5: Solve for x
    x = 45,695,708,791.92/221,509.20
  6. Step 6: Final answer
    x = 206,292.60

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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.