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Finding the Fourth Proportional to 219,282.40, 329,053.20 and 159,968.80

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Solution

The fourth proportional to 219,282.40, 329,053.20 and 159,968.80 is: 240,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,282.40 : 329,053.20 = 159,968.80 : x
  2. Step 2: Convert to fraction form
    219,282.40/329,053.20 = 159,968.80/x
  3. Step 3: Cross multiply
    219,282.40x = 329,053.20 × 159,968.80
  4. Step 4: Simplify right side
    219,282.40x = 52,638,245,540.16
  5. Step 5: Solve for x
    x = 52,638,245,540.16/219,282.40
  6. Step 6: Final answer
    x = 240,047.74

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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.