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Finding the Fourth Proportional to 163,883.20, 245,824.80 and 141,332.80

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Solution

The fourth proportional to 163,883.20, 245,824.80 and 141,332.80 is: 211,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,883.20 : 245,824.80 = 141,332.80 : x
  2. Step 2: Convert to fraction form
    163,883.20/245,824.80 = 141,332.80/x
  3. Step 3: Cross multiply
    163,883.20x = 245,824.80 × 141,332.80
  4. Step 4: Simplify right side
    163,883.20x = 34,743,107,293.44
  5. Step 5: Solve for x
    x = 34,743,107,293.44/163,883.20
  6. Step 6: Final answer
    x = 211,999.20

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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.