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Finding the Fourth Proportional to 159,363.71, 238,969.32 and 92,822.82

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Solution

The fourth proportional to 159,363.71, 238,969.32 and 92,822.82 is: 139,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,363.71 : 238,969.32 = 92,822.82 : x
  2. Step 2: Convert to fraction form
    159,363.71/238,969.32 = 92,822.82/x
  3. Step 3: Cross multiply
    159,363.71x = 238,969.32 × 92,822.82
  4. Step 4: Simplify right side
    159,363.71x = 22,181,806,175.88
  5. Step 5: Solve for x
    x = 22,181,806,175.88/159,363.71
  6. Step 6: Final answer
    x = 139,189.82

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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.