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Finding the Fourth Proportional to 212,708.66, 293,539.89 and 117,218.78

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Solution

The fourth proportional to 212,708.66, 293,539.89 and 117,218.78 is: 161,762.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,708.66 : 293,539.89 = 117,218.78 : x
  2. Step 2: Convert to fraction form
    212,708.66/293,539.89 = 117,218.78/x
  3. Step 3: Cross multiply
    212,708.66x = 293,539.89 × 117,218.78
  4. Step 4: Simplify right side
    212,708.66x = 34,408,387,787.13
  5. Step 5: Solve for x
    x = 34,408,387,787.13/212,708.66
  6. Step 6: Final answer
    x = 161,762.99

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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.