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Finding the Fourth Proportional to 180,097.33, 270,297.54 and 90,113.05

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Solution

The fourth proportional to 180,097.33, 270,297.54 and 90,113.05 is: 135,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,097.33 : 270,297.54 = 90,113.05 : x
  2. Step 2: Convert to fraction form
    180,097.33/270,297.54 = 90,113.05/x
  3. Step 3: Cross multiply
    180,097.33x = 270,297.54 × 90,113.05
  4. Step 4: Simplify right side
    180,097.33x = 24,357,334,892.27
  5. Step 5: Solve for x
    x = 24,357,334,892.27/180,097.33
  6. Step 6: Final answer
    x = 135,245.40

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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.