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Finding the Fourth Proportional to 198,332.64, 297,460.08 and 73,648.80

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Solution

The fourth proportional to 198,332.64, 297,460.08 and 73,648.80 is: 110,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,332.64 : 297,460.08 = 73,648.80 : x
  2. Step 2: Convert to fraction form
    198,332.64/297,460.08 = 73,648.80/x
  3. Step 3: Cross multiply
    198,332.64x = 297,460.08 × 73,648.80
  4. Step 4: Simplify right side
    198,332.64x = 21,907,577,939.90
  5. Step 5: Solve for x
    x = 21,907,577,939.90/198,332.64
  6. Step 6: Final answer
    x = 110,458.76

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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.