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Finding the Fourth Proportional to 154,296.69, 231,071.28 and 106,778.62

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Solution

The fourth proportional to 154,296.69, 231,071.28 and 106,778.62 is: 159,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,296.69 : 231,071.28 = 106,778.62 : x
  2. Step 2: Convert to fraction form
    154,296.69/231,071.28 = 106,778.62/x
  3. Step 3: Cross multiply
    154,296.69x = 231,071.28 × 106,778.62
  4. Step 4: Simplify right side
    154,296.69x = 24,673,472,400.03
  5. Step 5: Solve for x
    x = 24,673,472,400.03/154,296.69
  6. Step 6: Final answer
    x = 159,909.28

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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.