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Finding the Fourth Proportional to 200,307, 276,423.66 and 110,883

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Solution

The fourth proportional to 200,307, 276,423.66 and 110,883 is: 153,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,307 : 276,423.66 = 110,883 : x
  2. Step 2: Convert to fraction form
    200,307/276,423.66 = 110,883/x
  3. Step 3: Cross multiply
    200,307x = 276,423.66 × 110,883
  4. Step 4: Simplify right side
    200,307x = 30,650,684,691.78
  5. Step 5: Solve for x
    x = 30,650,684,691.78/200,307
  6. Step 6: Final answer
    x = 153,018.54

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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.