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Finding the Fourth Proportional to 212,851.40, 318,839.70 and 107,729.60

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Solution

The fourth proportional to 212,851.40, 318,839.70 and 107,729.60 is: 161,373.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,851.40 : 318,839.70 = 107,729.60 : x
  2. Step 2: Convert to fraction form
    212,851.40/318,839.70 = 107,729.60/x
  3. Step 3: Cross multiply
    212,851.40x = 318,839.70 × 107,729.60
  4. Step 4: Simplify right side
    212,851.40x = 34,348,473,345.12
  5. Step 5: Solve for x
    x = 34,348,473,345.12/212,851.40
  6. Step 6: Final answer
    x = 161,373.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.