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Finding the Fourth Proportional to 198,571.20, 297,856.80 and 176,798.40

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Solution

The fourth proportional to 198,571.20, 297,856.80 and 176,798.40 is: 265,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,571.20 : 297,856.80 = 176,798.40 : x
  2. Step 2: Convert to fraction form
    198,571.20/297,856.80 = 176,798.40/x
  3. Step 3: Cross multiply
    198,571.20x = 297,856.80 × 176,798.40
  4. Step 4: Simplify right side
    198,571.20x = 52,660,605,669.12
  5. Step 5: Solve for x
    x = 52,660,605,669.12/198,571.20
  6. Step 6: Final answer
    x = 265,197.60

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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.