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Finding the Fourth Proportional to 272,301.92, 375,671.76 and 200,851.28

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Solution

The fourth proportional to 272,301.92, 375,671.76 and 200,851.28 is: 277,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,301.92 : 375,671.76 = 200,851.28 : x
  2. Step 2: Convert to fraction form
    272,301.92/375,671.76 = 200,851.28/x
  3. Step 3: Cross multiply
    272,301.92x = 375,671.76 × 200,851.28
  4. Step 4: Simplify right side
    272,301.92x = 75,454,153,855.85
  5. Step 5: Solve for x
    x = 75,454,153,855.85/272,301.92
  6. Step 6: Final answer
    x = 277,097.40

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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.