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Finding the Fourth Proportional to 180,921.84, 271,400.04 and 81,078

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Solution

The fourth proportional to 180,921.84, 271,400.04 and 81,078 is: 121,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,921.84 : 271,400.04 = 81,078 : x
  2. Step 2: Convert to fraction form
    180,921.84/271,400.04 = 81,078/x
  3. Step 3: Cross multiply
    180,921.84x = 271,400.04 × 81,078
  4. Step 4: Simplify right side
    180,921.84x = 22,004,572,443.12
  5. Step 5: Solve for x
    x = 22,004,572,443.12/180,921.84
  6. Step 6: Final answer
    x = 121,624.74

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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.