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Finding the Fourth Proportional to 261,863.99, 361,345.49 and 147,124.38

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Solution

The fourth proportional to 261,863.99, 361,345.49 and 147,124.38 is: 203,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,863.99 : 361,345.49 = 147,124.38 : x
  2. Step 2: Convert to fraction form
    261,863.99/361,345.49 = 147,124.38/x
  3. Step 3: Cross multiply
    261,863.99x = 361,345.49 × 147,124.38
  4. Step 4: Simplify right side
    261,863.99x = 53,162,732,353.19
  5. Step 5: Solve for x
    x = 53,162,732,353.19/261,863.99
  6. Step 6: Final answer
    x = 203,016.58

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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.