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Finding the Fourth Proportional to 261,846.96, 361,382.52 and 159,851.04

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Solution

The fourth proportional to 261,846.96, 361,382.52 and 159,851.04 is: 220,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,846.96 : 361,382.52 = 159,851.04 : x
  2. Step 2: Convert to fraction form
    261,846.96/361,382.52 = 159,851.04/x
  3. Step 3: Cross multiply
    261,846.96x = 361,382.52 × 159,851.04
  4. Step 4: Simplify right side
    261,846.96x = 57,767,371,659.82
  5. Step 5: Solve for x
    x = 57,767,371,659.82/261,846.96
  6. Step 6: Final answer
    x = 220,615.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.