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Finding the Fourth Proportional to 277,911.54, 416,867.31 and 67,549.14

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Solution

The fourth proportional to 277,911.54, 416,867.31 and 67,549.14 is: 101,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,911.54 : 416,867.31 = 67,549.14 : x
  2. Step 2: Convert to fraction form
    277,911.54/416,867.31 = 67,549.14/x
  3. Step 3: Cross multiply
    277,911.54x = 416,867.31 × 67,549.14
  4. Step 4: Simplify right side
    277,911.54x = 28,159,028,284.61
  5. Step 5: Solve for x
    x = 28,159,028,284.61/277,911.54
  6. Step 6: Final answer
    x = 101,323.71

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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.