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Finding the Fourth Proportional to 197,335.20, 296,002.80 and 137,200.80

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Solution

The fourth proportional to 197,335.20, 296,002.80 and 137,200.80 is: 205,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,335.20 : 296,002.80 = 137,200.80 : x
  2. Step 2: Convert to fraction form
    197,335.20/296,002.80 = 137,200.80/x
  3. Step 3: Cross multiply
    197,335.20x = 296,002.80 × 137,200.80
  4. Step 4: Simplify right side
    197,335.20x = 40,611,820,962.24
  5. Step 5: Solve for x
    x = 40,611,820,962.24/197,335.20
  6. Step 6: Final answer
    x = 205,801.20

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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.