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Finding the Fourth Proportional to 247,743.40, 342,027.75 and 163,106.50

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Solution

The fourth proportional to 247,743.40, 342,027.75 and 163,106.50 is: 225,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,743.40 : 342,027.75 = 163,106.50 : x
  2. Step 2: Convert to fraction form
    247,743.40/342,027.75 = 163,106.50/x
  3. Step 3: Cross multiply
    247,743.40x = 342,027.75 × 163,106.50
  4. Step 4: Simplify right side
    247,743.40x = 55,786,949,205.38
  5. Step 5: Solve for x
    x = 55,786,949,205.38/247,743.40
  6. Step 6: Final answer
    x = 225,180.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.