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Finding the Fourth Proportional to 106,788.98, 160,206.46 and 31,915.22

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Solution

The fourth proportional to 106,788.98, 160,206.46 and 31,915.22 is: 47,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,788.98 : 160,206.46 = 31,915.22 : x
  2. Step 2: Convert to fraction form
    106,788.98/160,206.46 = 31,915.22/x
  3. Step 3: Cross multiply
    106,788.98x = 160,206.46 × 31,915.22
  4. Step 4: Simplify right side
    106,788.98x = 5,113,023,535.50
  5. Step 5: Solve for x
    x = 5,113,023,535.50/106,788.98
  6. Step 6: Final answer
    x = 47,879.69

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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.