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Finding the Fourth Proportional to 212,721.78, 293,562.21 and 117,234.63

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Solution

The fourth proportional to 212,721.78, 293,562.21 and 117,234.63 is: 161,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,721.78 : 293,562.21 = 117,234.63 : x
  2. Step 2: Convert to fraction form
    212,721.78/293,562.21 = 117,234.63/x
  3. Step 3: Cross multiply
    212,721.78x = 293,562.21 × 117,234.63
  4. Step 4: Simplify right side
    212,721.78x = 34,415,657,071.33
  5. Step 5: Solve for x
    x = 34,415,657,071.33/212,721.78
  6. Step 6: Final answer
    x = 161,787.18

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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.