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Finding the Fourth Proportional to 163,964.80, 245,947.20 and 53,156.80

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Solution

The fourth proportional to 163,964.80, 245,947.20 and 53,156.80 is: 79,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,964.80 : 245,947.20 = 53,156.80 : x
  2. Step 2: Convert to fraction form
    163,964.80/245,947.20 = 53,156.80/x
  3. Step 3: Cross multiply
    163,964.80x = 245,947.20 × 53,156.80
  4. Step 4: Simplify right side
    163,964.80x = 13,073,766,120.96
  5. Step 5: Solve for x
    x = 13,073,766,120.96/163,964.80
  6. Step 6: Final answer
    x = 79,735.20

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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.