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Finding the Fourth Proportional to 273,032.75, 409,521.45 and 73,327.19

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Solution

The fourth proportional to 273,032.75, 409,521.45 and 73,327.19 is: 109,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,032.75 : 409,521.45 = 73,327.19 : x
  2. Step 2: Convert to fraction form
    273,032.75/409,521.45 = 73,327.19/x
  3. Step 3: Cross multiply
    273,032.75x = 409,521.45 × 73,327.19
  4. Step 4: Simplify right side
    273,032.75x = 30,029,057,173.23
  5. Step 5: Solve for x
    x = 30,029,057,173.23/273,032.75
  6. Step 6: Final answer
    x = 109,983.35

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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.