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Finding the Fourth Proportional to 180,549.84, 270,793.98 and 54,155.82

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Solution

The fourth proportional to 180,549.84, 270,793.98 and 54,155.82 is: 81,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,549.84 : 270,793.98 = 54,155.82 : x
  2. Step 2: Convert to fraction form
    180,549.84/270,793.98 = 54,155.82/x
  3. Step 3: Cross multiply
    180,549.84x = 270,793.98 × 54,155.82
  4. Step 4: Simplify right side
    180,549.84x = 14,665,070,037.96
  5. Step 5: Solve for x
    x = 14,665,070,037.96/180,549.84
  6. Step 6: Final answer
    x = 81,224.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.