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Finding the Fourth Proportional to 180,019, 248,426.34 and 100,531

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Solution

The fourth proportional to 180,019, 248,426.34 and 100,531 is: 138,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,019 : 248,426.34 = 100,531 : x
  2. Step 2: Convert to fraction form
    180,019/248,426.34 = 100,531/x
  3. Step 3: Cross multiply
    180,019x = 248,426.34 × 100,531
  4. Step 4: Simplify right side
    180,019x = 24,974,548,386.54
  5. Step 5: Solve for x
    x = 24,974,548,386.54/180,019
  6. Step 6: Final answer
    x = 138,732.85

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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.