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Finding the Fourth Proportional to 265,344.92, 398,016.48 and 107,573

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Solution

The fourth proportional to 265,344.92, 398,016.48 and 107,573 is: 161,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,344.92 : 398,016.48 = 107,573 : x
  2. Step 2: Convert to fraction form
    265,344.92/398,016.48 = 107,573/x
  3. Step 3: Cross multiply
    265,344.92x = 398,016.48 × 107,573
  4. Step 4: Simplify right side
    265,344.92x = 42,815,826,803.04
  5. Step 5: Solve for x
    x = 42,815,826,803.04/265,344.92
  6. Step 6: Final answer
    x = 161,359.14

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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.