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Finding the Fourth Proportional to 198,000.80, 296,943.60 and 109,296.80

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Solution

The fourth proportional to 198,000.80, 296,943.60 and 109,296.80 is: 163,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,000.80 : 296,943.60 = 109,296.80 : x
  2. Step 2: Convert to fraction form
    198,000.80/296,943.60 = 109,296.80/x
  3. Step 3: Cross multiply
    198,000.80x = 296,943.60 × 109,296.80
  4. Step 4: Simplify right side
    198,000.80x = 32,454,985,260.48
  5. Step 5: Solve for x
    x = 32,454,985,260.48/198,000.80
  6. Step 6: Final answer
    x = 163,913.40

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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.