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Finding the Fourth Proportional to 230,103.90, 344,950.65 and 89,829.90

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Solution

The fourth proportional to 230,103.90, 344,950.65 and 89,829.90 is: 134,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,103.90 : 344,950.65 = 89,829.90 : x
  2. Step 2: Convert to fraction form
    230,103.90/344,950.65 = 89,829.90/x
  3. Step 3: Cross multiply
    230,103.90x = 344,950.65 × 89,829.90
  4. Step 4: Simplify right side
    230,103.90x = 30,986,882,394.44
  5. Step 5: Solve for x
    x = 30,986,882,394.44/230,103.90
  6. Step 6: Final answer
    x = 134,664.74

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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.