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Finding the Fourth Proportional to 106,469.40, 159,371.87 and 78,421.13

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Solution

The fourth proportional to 106,469.40, 159,371.87 and 78,421.13 is: 117,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,469.40 : 159,371.87 = 78,421.13 : x
  2. Step 2: Convert to fraction form
    106,469.40/159,371.87 = 78,421.13/x
  3. Step 3: Cross multiply
    106,469.40x = 159,371.87 × 78,421.13
  4. Step 4: Simplify right side
    106,469.40x = 12,498,120,946.65
  5. Step 5: Solve for x
    x = 12,498,120,946.65/106,469.40
  6. Step 6: Final answer
    x = 117,386.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.