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Finding the Fourth Proportional to 273,168.62, 409,813.12 and 83,630.42

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Solution

The fourth proportional to 273,168.62, 409,813.12 and 83,630.42 is: 125,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,168.62 : 409,813.12 = 83,630.42 : x
  2. Step 2: Convert to fraction form
    273,168.62/409,813.12 = 83,630.42/x
  3. Step 3: Cross multiply
    273,168.62x = 409,813.12 × 83,630.42
  4. Step 4: Simplify right side
    273,168.62x = 34,272,843,347.11
  5. Step 5: Solve for x
    x = 34,272,843,347.11/273,168.62
  6. Step 6: Final answer
    x = 125,464.06

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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.