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Finding the Fourth Proportional to 159,907.22, 239,598.38 and 54,668.78

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Solution

The fourth proportional to 159,907.22, 239,598.38 and 54,668.78 is: 81,913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,907.22 : 239,598.38 = 54,668.78 : x
  2. Step 2: Convert to fraction form
    159,907.22/239,598.38 = 54,668.78/x
  3. Step 3: Cross multiply
    159,907.22x = 239,598.38 × 54,668.78
  4. Step 4: Simplify right side
    159,907.22x = 13,098,551,124.58
  5. Step 5: Solve for x
    x = 13,098,551,124.58/159,907.22
  6. Step 6: Final answer
    x = 81,913.44

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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.