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Finding the Fourth Proportional to 278,007.73, 416,420.26 and 164,032.71

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Solution

The fourth proportional to 278,007.73, 416,420.26 and 164,032.71 is: 245,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,007.73 : 416,420.26 = 164,032.71 : x
  2. Step 2: Convert to fraction form
    278,007.73/416,420.26 = 164,032.71/x
  3. Step 3: Cross multiply
    278,007.73x = 416,420.26 × 164,032.71
  4. Step 4: Simplify right side
    278,007.73x = 68,306,541,664.60
  5. Step 5: Solve for x
    x = 68,306,541,664.60/278,007.73
  6. Step 6: Final answer
    x = 245,700.15

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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.