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Finding the Fourth Proportional to 257,981.71, 386,815.37 and 115,799.37

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Solution

The fourth proportional to 257,981.71, 386,815.37 and 115,799.37 is: 173,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,981.71 : 386,815.37 = 115,799.37 : x
  2. Step 2: Convert to fraction form
    257,981.71/386,815.37 = 115,799.37/x
  3. Step 3: Cross multiply
    257,981.71x = 386,815.37 × 115,799.37
  4. Step 4: Simplify right side
    257,981.71x = 44,792,977,275.66
  5. Step 5: Solve for x
    x = 44,792,977,275.66/257,981.71
  6. Step 6: Final answer
    x = 173,628.50

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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.