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Finding the Fourth Proportional to 273,669.72, 410,492.40 and 84,122.40

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Solution

The fourth proportional to 273,669.72, 410,492.40 and 84,122.40 is: 126,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,669.72 : 410,492.40 = 84,122.40 : x
  2. Step 2: Convert to fraction form
    273,669.72/410,492.40 = 84,122.40/x
  3. Step 3: Cross multiply
    273,669.72x = 410,492.40 × 84,122.40
  4. Step 4: Simplify right side
    273,669.72x = 34,531,605,869.76
  5. Step 5: Solve for x
    x = 34,531,605,869.76/273,669.72
  6. Step 6: Final answer
    x = 126,179.86

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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.