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Finding the Fourth Proportional to 159,104.82, 238,657.14 and 46,785.97

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Solution

The fourth proportional to 159,104.82, 238,657.14 and 46,785.97 is: 70,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,104.82 : 238,657.14 = 46,785.97 : x
  2. Step 2: Convert to fraction form
    159,104.82/238,657.14 = 46,785.97/x
  3. Step 3: Cross multiply
    159,104.82x = 238,657.14 × 46,785.97
  4. Step 4: Simplify right side
    159,104.82x = 11,165,805,792.33
  5. Step 5: Solve for x
    x = 11,165,805,792.33/159,104.82
  6. Step 6: Final answer
    x = 70,178.93

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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.