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Finding the Fourth Proportional to 282,565.91, 424,014.11 and 105,198.59

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Solution

The fourth proportional to 282,565.91, 424,014.11 and 105,198.59 is: 157,859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,565.91 : 424,014.11 = 105,198.59 : x
  2. Step 2: Convert to fraction form
    282,565.91/424,014.11 = 105,198.59/x
  3. Step 3: Cross multiply
    282,565.91x = 424,014.11 × 105,198.59
  4. Step 4: Simplify right side
    282,565.91x = 44,605,686,512.10
  5. Step 5: Solve for x
    x = 44,605,686,512.10/282,565.91
  6. Step 6: Final answer
    x = 157,859.41

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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.