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Finding the Fourth Proportional to 277,913.54, 416,870.31 and 67,551.14

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Solution

The fourth proportional to 277,913.54, 416,870.31 and 67,551.14 is: 101,326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,913.54 : 416,870.31 = 67,551.14 : x
  2. Step 2: Convert to fraction form
    277,913.54/416,870.31 = 67,551.14/x
  3. Step 3: Cross multiply
    277,913.54x = 416,870.31 × 67,551.14
  4. Step 4: Simplify right side
    277,913.54x = 28,160,064,672.65
  5. Step 5: Solve for x
    x = 28,160,064,672.65/277,913.54
  6. Step 6: Final answer
    x = 101,326.71

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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.