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Finding the Fourth Proportional to 164,568.70, 226,948.80 and 113,499.82

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Solution

The fourth proportional to 164,568.70, 226,948.80 and 113,499.82 is: 156,522.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,568.70 : 226,948.80 = 113,499.82 : x
  2. Step 2: Convert to fraction form
    164,568.70/226,948.80 = 113,499.82/x
  3. Step 3: Cross multiply
    164,568.70x = 226,948.80 × 113,499.82
  4. Step 4: Simplify right side
    164,568.70x = 25,758,647,949.22
  5. Step 5: Solve for x
    x = 25,758,647,949.22/164,568.70
  6. Step 6: Final answer
    x = 156,522.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.