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Finding the Fourth Proportional to 231,258.66, 346,814.16 and 73,450.20

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Solution

The fourth proportional to 231,258.66, 346,814.16 and 73,450.20 is: 110,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,258.66 : 346,814.16 = 73,450.20 : x
  2. Step 2: Convert to fraction form
    231,258.66/346,814.16 = 73,450.20/x
  3. Step 3: Cross multiply
    231,258.66x = 346,814.16 × 73,450.20
  4. Step 4: Simplify right side
    231,258.66x = 25,473,569,414.83
  5. Step 5: Solve for x
    x = 25,473,569,414.83/231,258.66
  6. Step 6: Final answer
    x = 110,151.85

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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.