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Finding the Fourth Proportional to 198,470.40, 298,051.20 and 105,158.40

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Solution

The fourth proportional to 198,470.40, 298,051.20 and 105,158.40 is: 157,920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,470.40 : 298,051.20 = 105,158.40 : x
  2. Step 2: Convert to fraction form
    198,470.40/298,051.20 = 105,158.40/x
  3. Step 3: Cross multiply
    198,470.40x = 298,051.20 × 105,158.40
  4. Step 4: Simplify right side
    198,470.40x = 31,342,587,310.08
  5. Step 5: Solve for x
    x = 31,342,587,310.08/198,470.40
  6. Step 6: Final answer
    x = 157,920.71

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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.