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Finding the Fourth Proportional to 273,310.20, 409,965.30 and 96,017.40

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Solution

The fourth proportional to 273,310.20, 409,965.30 and 96,017.40 is: 144,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,310.20 : 409,965.30 = 96,017.40 : x
  2. Step 2: Convert to fraction form
    273,310.20/409,965.30 = 96,017.40/x
  3. Step 3: Cross multiply
    273,310.20x = 409,965.30 × 96,017.40
  4. Step 4: Simplify right side
    273,310.20x = 39,363,802,196.22
  5. Step 5: Solve for x
    x = 39,363,802,196.22/273,310.20
  6. Step 6: Final answer
    x = 144,026.10

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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.