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Finding the Fourth Proportional to 198,137.34, 297,322.65 and 73,565.82

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Solution

The fourth proportional to 198,137.34, 297,322.65 and 73,565.82 is: 110,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,137.34 : 297,322.65 = 73,565.82 : x
  2. Step 2: Convert to fraction form
    198,137.34/297,322.65 = 73,565.82/x
  3. Step 3: Cross multiply
    198,137.34x = 297,322.65 × 73,565.82
  4. Step 4: Simplify right side
    198,137.34x = 21,872,784,551.82
  5. Step 5: Solve for x
    x = 21,872,784,551.82/198,137.34
  6. Step 6: Final answer
    x = 110,392.04

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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.