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Finding the Fourth Proportional to 212,846.40, 293,727.78 and 117,354.60

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Solution

The fourth proportional to 212,846.40, 293,727.78 and 117,354.60 is: 161,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,846.40 : 293,727.78 = 117,354.60 : x
  2. Step 2: Convert to fraction form
    212,846.40/293,727.78 = 117,354.60/x
  3. Step 3: Cross multiply
    212,846.40x = 293,727.78 × 117,354.60
  4. Step 4: Simplify right side
    212,846.40x = 34,470,306,130.79
  5. Step 5: Solve for x
    x = 34,470,306,130.79/212,846.40
  6. Step 6: Final answer
    x = 161,949.21

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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.