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Finding the Fourth Proportional to 164,431.65, 226,761.69 and 109,143.20

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Solution

The fourth proportional to 164,431.65, 226,761.69 and 109,143.20 is: 150,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,431.65 : 226,761.69 = 109,143.20 : x
  2. Step 2: Convert to fraction form
    164,431.65/226,761.69 = 109,143.20/x
  3. Step 3: Cross multiply
    164,431.65x = 226,761.69 × 109,143.20
  4. Step 4: Simplify right side
    164,431.65x = 24,749,495,263.77
  5. Step 5: Solve for x
    x = 24,749,495,263.77/164,431.65
  6. Step 6: Final answer
    x = 150,515.39

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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.