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Finding the Fourth Proportional to 180,956.52, 271,525.32 and 81,188.01

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Solution

The fourth proportional to 180,956.52, 271,525.32 and 81,188.01 is: 121,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,956.52 : 271,525.32 = 81,188.01 : x
  2. Step 2: Convert to fraction form
    180,956.52/271,525.32 = 81,188.01/x
  3. Step 3: Cross multiply
    180,956.52x = 271,525.32 × 81,188.01
  4. Step 4: Simplify right side
    180,956.52x = 22,044,600,395.41
  5. Step 5: Solve for x
    x = 22,044,600,395.41/180,956.52
  6. Step 6: Final answer
    x = 121,822.64

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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.