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Finding the Fourth Proportional to 282,559.91, 389,759.73 and 167,760.68

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Solution

The fourth proportional to 282,559.91, 389,759.73 and 167,760.68 is: 231,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,559.91 : 389,759.73 = 167,760.68 : x
  2. Step 2: Convert to fraction form
    282,559.91/389,759.73 = 167,760.68/x
  3. Step 3: Cross multiply
    282,559.91x = 389,759.73 × 167,760.68
  4. Step 4: Simplify right side
    282,559.91x = 65,386,357,341.42
  5. Step 5: Solve for x
    x = 65,386,357,341.42/282,559.91
  6. Step 6: Final answer
    x = 231,407.06

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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.