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Finding the Fourth Proportional to 180,957.52, 271,526.82 and 81,189.01

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Solution

The fourth proportional to 180,957.52, 271,526.82 and 81,189.01 is: 121,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,957.52 : 271,526.82 = 81,189.01 : x
  2. Step 2: Convert to fraction form
    180,957.52/271,526.82 = 81,189.01/x
  3. Step 3: Cross multiply
    180,957.52x = 271,526.82 × 81,189.01
  4. Step 4: Simplify right side
    180,957.52x = 22,044,993,704.25
  5. Step 5: Solve for x
    x = 22,044,993,704.25/180,957.52
  6. Step 6: Final answer
    x = 121,824.14

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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.