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Finding the Fourth Proportional to 198,315.32, 297,409.92 and 65,164.76

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Solution

The fourth proportional to 198,315.32, 297,409.92 and 65,164.76 is: 97,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,315.32 : 297,409.92 = 65,164.76 : x
  2. Step 2: Convert to fraction form
    198,315.32/297,409.92 = 65,164.76/x
  3. Step 3: Cross multiply
    198,315.32x = 297,409.92 × 65,164.76
  4. Step 4: Simplify right side
    198,315.32x = 19,380,646,058.42
  5. Step 5: Solve for x
    x = 19,380,646,058.42/198,315.32
  6. Step 6: Final answer
    x = 97,726.42

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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.