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Finding the Fourth Proportional to 269,307.20, 403,863.60 and 136,143.20

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Solution

The fourth proportional to 269,307.20, 403,863.60 and 136,143.20 is: 204,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,307.20 : 403,863.60 = 136,143.20 : x
  2. Step 2: Convert to fraction form
    269,307.20/403,863.60 = 136,143.20/x
  3. Step 3: Cross multiply
    269,307.20x = 403,863.60 × 136,143.20
  4. Step 4: Simplify right side
    269,307.20x = 54,983,282,867.52
  5. Step 5: Solve for x
    x = 54,983,282,867.52/269,307.20
  6. Step 6: Final answer
    x = 204,165.66

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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.