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Finding the Fourth Proportional to 209,437.58, 314,052.59 and 74,481.42

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Solution

The fourth proportional to 209,437.58, 314,052.59 and 74,481.42 is: 111,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,437.58 : 314,052.59 = 74,481.42 : x
  2. Step 2: Convert to fraction form
    209,437.58/314,052.59 = 74,481.42/x
  3. Step 3: Cross multiply
    209,437.58x = 314,052.59 × 74,481.42
  4. Step 4: Simplify right side
    209,437.58x = 23,391,084,221.78
  5. Step 5: Solve for x
    x = 23,391,084,221.78/209,437.58
  6. Step 6: Final answer
    x = 111,685.23

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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.