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Finding the Fourth Proportional to 247,275.92, 370,976.24 and 114,250.22

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Solution

The fourth proportional to 247,275.92, 370,976.24 and 114,250.22 is: 171,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,275.92 : 370,976.24 = 114,250.22 : x
  2. Step 2: Convert to fraction form
    247,275.92/370,976.24 = 114,250.22/x
  3. Step 3: Cross multiply
    247,275.92x = 370,976.24 × 114,250.22
  4. Step 4: Simplify right side
    247,275.92x = 42,384,118,247.84
  5. Step 5: Solve for x
    x = 42,384,118,247.84/247,275.92
  6. Step 6: Final answer
    x = 171,404.15

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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.