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Finding the Fourth Proportional to 159,345.12, 238,961.82 and 46,995.48

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Solution

The fourth proportional to 159,345.12, 238,961.82 and 46,995.48 is: 70,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,345.12 : 238,961.82 = 46,995.48 : x
  2. Step 2: Convert to fraction form
    159,345.12/238,961.82 = 46,995.48/x
  3. Step 3: Cross multiply
    159,345.12x = 238,961.82 × 46,995.48
  4. Step 4: Simplify right side
    159,345.12x = 11,230,125,432.57
  5. Step 5: Solve for x
    x = 11,230,125,432.57/159,345.12
  6. Step 6: Final answer
    x = 70,476.75

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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.