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Finding the Fourth Proportional to 180,756.55, 271,133.46 and 54,396.25

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Solution

The fourth proportional to 180,756.55, 271,133.46 and 54,396.25 is: 81,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,756.55 : 271,133.46 = 54,396.25 : x
  2. Step 2: Convert to fraction form
    180,756.55/271,133.46 = 54,396.25/x
  3. Step 3: Cross multiply
    180,756.55x = 271,133.46 × 54,396.25
  4. Step 4: Simplify right side
    180,756.55x = 14,748,643,473.53
  5. Step 5: Solve for x
    x = 14,748,643,473.53/180,756.55
  6. Step 6: Final answer
    x = 81,593.96

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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.