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Finding the Fourth Proportional to 212,517.72, 293,256.72 and 117,029.52

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Solution

The fourth proportional to 212,517.72, 293,256.72 and 117,029.52 is: 161,490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,517.72 : 293,256.72 = 117,029.52 : x
  2. Step 2: Convert to fraction form
    212,517.72/293,256.72 = 117,029.52/x
  3. Step 3: Cross multiply
    212,517.72x = 293,256.72 × 117,029.52
  4. Step 4: Simplify right side
    212,517.72x = 34,319,693,178.37
  5. Step 5: Solve for x
    x = 34,319,693,178.37/212,517.72
  6. Step 6: Final answer
    x = 161,490.97

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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.