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Finding the Fourth Proportional to 200,733.60, 301,084.96 and 74,314.56

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Solution

The fourth proportional to 200,733.60, 301,084.96 and 74,314.56 is: 111,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,733.60 : 301,084.96 = 74,314.56 : x
  2. Step 2: Convert to fraction form
    200,733.60/301,084.96 = 74,314.56/x
  3. Step 3: Cross multiply
    200,733.60x = 301,084.96 × 74,314.56
  4. Step 4: Simplify right side
    200,733.60x = 22,374,996,325.02
  5. Step 5: Solve for x
    x = 22,374,996,325.02/200,733.60
  6. Step 6: Final answer
    x = 111,466.12

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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.