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Finding the Fourth Proportional to 198,145.20, 297,217.80 and 160,820.40

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Solution

The fourth proportional to 198,145.20, 297,217.80 and 160,820.40 is: 241,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,145.20 : 297,217.80 = 160,820.40 : x
  2. Step 2: Convert to fraction form
    198,145.20/297,217.80 = 160,820.40/x
  3. Step 3: Cross multiply
    198,145.20x = 297,217.80 × 160,820.40
  4. Step 4: Simplify right side
    198,145.20x = 47,798,685,483.12
  5. Step 5: Solve for x
    x = 47,798,685,483.12/198,145.20
  6. Step 6: Final answer
    x = 241,230.60

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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.