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Finding the Fourth Proportional to 299,719.82, 413,601.12 and 163,758.48

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Solution

The fourth proportional to 299,719.82, 413,601.12 and 163,758.48 is: 225,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,719.82 : 413,601.12 = 163,758.48 : x
  2. Step 2: Convert to fraction form
    299,719.82/413,601.12 = 163,758.48/x
  3. Step 3: Cross multiply
    299,719.82x = 413,601.12 × 163,758.48
  4. Step 4: Simplify right side
    299,719.82x = 67,730,690,737.50
  5. Step 5: Solve for x
    x = 67,730,690,737.50/299,719.82
  6. Step 6: Final answer
    x = 225,980.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.