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Finding the Fourth Proportional to 219,197.24, 328,768.13 and 69,452.72

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Solution

The fourth proportional to 219,197.24, 328,768.13 and 69,452.72 is: 104,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,197.24 : 328,768.13 = 69,452.72 : x
  2. Step 2: Convert to fraction form
    219,197.24/328,768.13 = 69,452.72/x
  3. Step 3: Cross multiply
    219,197.24x = 328,768.13 × 69,452.72
  4. Step 4: Simplify right side
    219,197.24x = 22,833,839,407.60
  5. Step 5: Solve for x
    x = 22,833,839,407.60/219,197.24
  6. Step 6: Final answer
    x = 104,170.29

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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.