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Finding the Fourth Proportional to 265,342.92, 398,013.48 and 107,571

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Solution

The fourth proportional to 265,342.92, 398,013.48 and 107,571 is: 161,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,342.92 : 398,013.48 = 107,571 : x
  2. Step 2: Convert to fraction form
    265,342.92/398,013.48 = 107,571/x
  3. Step 3: Cross multiply
    265,342.92x = 398,013.48 × 107,571
  4. Step 4: Simplify right side
    265,342.92x = 42,814,708,057.08
  5. Step 5: Solve for x
    x = 42,814,708,057.08/265,342.92
  6. Step 6: Final answer
    x = 161,356.14

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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.