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Finding the Fourth Proportional to 231,892.95, 347,386.40 and 159,833.06

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Solution

The fourth proportional to 231,892.95, 347,386.40 and 159,833.06 is: 239,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,892.95 : 347,386.40 = 159,833.06 : x
  2. Step 2: Convert to fraction form
    231,892.95/347,386.40 = 159,833.06/x
  3. Step 3: Cross multiply
    231,892.95x = 347,386.40 × 159,833.06
  4. Step 4: Simplify right side
    231,892.95x = 55,523,828,778.29
  5. Step 5: Solve for x
    x = 55,523,828,778.29/231,892.95
  6. Step 6: Final answer
    x = 239,437.33

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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.