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Finding the Fourth Proportional to 159,419.60, 238,866.94 and 111,393.08

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Solution

The fourth proportional to 159,419.60, 238,866.94 and 111,393.08 is: 166,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,419.60 : 238,866.94 = 111,393.08 : x
  2. Step 2: Convert to fraction form
    159,419.60/238,866.94 = 111,393.08/x
  3. Step 3: Cross multiply
    159,419.60x = 238,866.94 × 111,393.08
  4. Step 4: Simplify right side
    159,419.60x = 26,608,124,156.78
  5. Step 5: Solve for x
    x = 26,608,124,156.78/159,419.60
  6. Step 6: Final answer
    x = 166,906.23

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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.