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Finding the Fourth Proportional to 201,824, 278,053.44 and 159,367.04

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Solution

The fourth proportional to 201,824, 278,053.44 and 159,367.04 is: 219,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,824 : 278,053.44 = 159,367.04 : x
  2. Step 2: Convert to fraction form
    201,824/278,053.44 = 159,367.04/x
  3. Step 3: Cross multiply
    201,824x = 278,053.44 × 159,367.04
  4. Step 4: Simplify right side
    201,824x = 44,312,553,694.62
  5. Step 5: Solve for x
    x = 44,312,553,694.62/201,824
  6. Step 6: Final answer
    x = 219,560.38

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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.