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Finding the Fourth Proportional to 198,347.44, 297,013.20 and 109,502.32

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Solution

The fourth proportional to 198,347.44, 297,013.20 and 109,502.32 is: 163,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,347.44 : 297,013.20 = 109,502.32 : x
  2. Step 2: Convert to fraction form
    198,347.44/297,013.20 = 109,502.32/x
  3. Step 3: Cross multiply
    198,347.44x = 297,013.20 × 109,502.32
  4. Step 4: Simplify right side
    198,347.44x = 32,523,634,470.62
  5. Step 5: Solve for x
    x = 32,523,634,470.62/198,347.44
  6. Step 6: Final answer
    x = 163,973.05

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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.