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Finding the Fourth Proportional to 159,046.78, 238,570.24 and 74,745.08

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Solution

The fourth proportional to 159,046.78, 238,570.24 and 74,745.08 is: 112,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,046.78 : 238,570.24 = 74,745.08 : x
  2. Step 2: Convert to fraction form
    159,046.78/238,570.24 = 74,745.08/x
  3. Step 3: Cross multiply
    159,046.78x = 238,570.24 × 74,745.08
  4. Step 4: Simplify right side
    159,046.78x = 17,831,951,674.42
  5. Step 5: Solve for x
    x = 17,831,951,674.42/159,046.78
  6. Step 6: Final answer
    x = 112,117.65

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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.