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Finding the Fourth Proportional to 273,638.80, 410,499.24 and 96,114.52

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Solution

The fourth proportional to 273,638.80, 410,499.24 and 96,114.52 is: 144,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,638.80 : 410,499.24 = 96,114.52 : x
  2. Step 2: Convert to fraction form
    273,638.80/410,499.24 = 96,114.52/x
  3. Step 3: Cross multiply
    273,638.80x = 410,499.24 × 96,114.52
  4. Step 4: Simplify right side
    273,638.80x = 39,454,937,412.96
  5. Step 5: Solve for x
    x = 39,454,937,412.96/273,638.80
  6. Step 6: Final answer
    x = 144,186.20

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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.