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Finding the Fourth Proportional to 180,350.96, 270,304.88 and 101,299

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Solution

The fourth proportional to 180,350.96, 270,304.88 and 101,299 is: 151,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,350.96 : 270,304.88 = 101,299 : x
  2. Step 2: Convert to fraction form
    180,350.96/270,304.88 = 101,299/x
  3. Step 3: Cross multiply
    180,350.96x = 270,304.88 × 101,299
  4. Step 4: Simplify right side
    180,350.96x = 27,381,614,039.12
  5. Step 5: Solve for x
    x = 27,381,614,039.12/180,350.96
  6. Step 6: Final answer
    x = 151,824.05

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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.