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Finding the Fourth Proportional to 285,568.83, 428,297.86 and 108,089.69

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Solution

The fourth proportional to 285,568.83, 428,297.86 and 108,089.69 is: 162,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,568.83 : 428,297.86 = 108,089.69 : x
  2. Step 2: Convert to fraction form
    285,568.83/428,297.86 = 108,089.69/x
  3. Step 3: Cross multiply
    285,568.83x = 428,297.86 × 108,089.69
  4. Step 4: Simplify right side
    285,568.83x = 46,294,580,233.13
  5. Step 5: Solve for x
    x = 46,294,580,233.13/285,568.83
  6. Step 6: Final answer
    x = 162,113.56

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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.