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Finding the Fourth Proportional to 267,007, 368,470.74 and 147,775

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Solution

The fourth proportional to 267,007, 368,470.74 and 147,775 is: 203,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,007 : 368,470.74 = 147,775 : x
  2. Step 2: Convert to fraction form
    267,007/368,470.74 = 147,775/x
  3. Step 3: Cross multiply
    267,007x = 368,470.74 × 147,775
  4. Step 4: Simplify right side
    267,007x = 54,450,763,603.50
  5. Step 5: Solve for x
    x = 54,450,763,603.50/267,007
  6. Step 6: Final answer
    x = 203,930.10

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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.