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Finding the Fourth Proportional to 222,442.16, 306,966.40 and 120,466.80

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Solution

The fourth proportional to 222,442.16, 306,966.40 and 120,466.80 is: 166,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,442.16 : 306,966.40 = 120,466.80 : x
  2. Step 2: Convert to fraction form
    222,442.16/306,966.40 = 120,466.80/x
  3. Step 3: Cross multiply
    222,442.16x = 306,966.40 × 120,466.80
  4. Step 4: Simplify right side
    222,442.16x = 36,979,259,915.52
  5. Step 5: Solve for x
    x = 36,979,259,915.52/222,442.16
  6. Step 6: Final answer
    x = 166,242.14

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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.