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Finding the Fourth Proportional to 201,924.88, 278,646.36 and 117,069.52

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Solution

The fourth proportional to 201,924.88, 278,646.36 and 117,069.52 is: 161,550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,924.88 : 278,646.36 = 117,069.52 : x
  2. Step 2: Convert to fraction form
    201,924.88/278,646.36 = 117,069.52/x
  3. Step 3: Cross multiply
    201,924.88x = 278,646.36 × 117,069.52
  4. Step 4: Simplify right side
    201,924.88x = 32,620,995,614.95
  5. Step 5: Solve for x
    x = 32,620,995,614.95/201,924.88
  6. Step 6: Final answer
    x = 161,550.15

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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.