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Finding the Fourth Proportional to 163,921.80, 245,882.70 and 149,406.60

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Solution

The fourth proportional to 163,921.80, 245,882.70 and 149,406.60 is: 224,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,921.80 : 245,882.70 = 149,406.60 : x
  2. Step 2: Convert to fraction form
    163,921.80/245,882.70 = 149,406.60/x
  3. Step 3: Cross multiply
    163,921.80x = 245,882.70 × 149,406.60
  4. Step 4: Simplify right side
    163,921.80x = 36,736,498,205.82
  5. Step 5: Solve for x
    x = 36,736,498,205.82/163,921.80
  6. Step 6: Final answer
    x = 224,109.90

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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.