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Finding the Fourth Proportional to 212,439.68, 293,165.16 and 116,948

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Solution

The fourth proportional to 212,439.68, 293,165.16 and 116,948 is: 161,387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,439.68 : 293,165.16 = 116,948 : x
  2. Step 2: Convert to fraction form
    212,439.68/293,165.16 = 116,948/x
  3. Step 3: Cross multiply
    212,439.68x = 293,165.16 × 116,948
  4. Step 4: Simplify right side
    212,439.68x = 34,285,079,131.68
  5. Step 5: Solve for x
    x = 34,285,079,131.68/212,439.68
  6. Step 6: Final answer
    x = 161,387.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.