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Finding the Fourth Proportional to 159,062.97, 238,594.32 and 46,745.94

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Solution

The fourth proportional to 159,062.97, 238,594.32 and 46,745.94 is: 70,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,062.97 : 238,594.32 = 46,745.94 : x
  2. Step 2: Convert to fraction form
    159,062.97/238,594.32 = 46,745.94/x
  3. Step 3: Cross multiply
    159,062.97x = 238,594.32 × 46,745.94
  4. Step 4: Simplify right side
    159,062.97x = 11,153,315,767.06
  5. Step 5: Solve for x
    x = 11,153,315,767.06/159,062.97
  6. Step 6: Final answer
    x = 70,118.87

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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.