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Finding the Fourth Proportional to 159,798, 238,481.90 and 142,083.92

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Solution

The fourth proportional to 159,798, 238,481.90 and 142,083.92 is: 212,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,798 : 238,481.90 = 142,083.92 : x
  2. Step 2: Convert to fraction form
    159,798/238,481.90 = 142,083.92/x
  3. Step 3: Cross multiply
    159,798x = 238,481.90 × 142,083.92
  4. Step 4: Simplify right side
    159,798x = 33,884,443,201.05
  5. Step 5: Solve for x
    x = 33,884,443,201.05/159,798
  6. Step 6: Final answer
    x = 212,045.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.