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Finding the Fourth Proportional to 221,513.20, 332,269.80 and 137,532.40

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Solution

The fourth proportional to 221,513.20, 332,269.80 and 137,532.40 is: 206,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,513.20 : 332,269.80 = 137,532.40 : x
  2. Step 2: Convert to fraction form
    221,513.20/332,269.80 = 137,532.40/x
  3. Step 3: Cross multiply
    221,513.20x = 332,269.80 × 137,532.40
  4. Step 4: Simplify right side
    221,513.20x = 45,697,863,041.52
  5. Step 5: Solve for x
    x = 45,697,863,041.52/221,513.20
  6. Step 6: Final answer
    x = 206,298.60

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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.