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Finding the Fourth Proportional to 180,862.32, 271,018.08 and 91,982.64

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Solution

The fourth proportional to 180,862.32, 271,018.08 and 91,982.64 is: 137,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,862.32 : 271,018.08 = 91,982.64 : x
  2. Step 2: Convert to fraction form
    180,862.32/271,018.08 = 91,982.64/x
  3. Step 3: Cross multiply
    180,862.32x = 271,018.08 × 91,982.64
  4. Step 4: Simplify right side
    180,862.32x = 24,928,958,486.13
  5. Step 5: Solve for x
    x = 24,928,958,486.13/180,862.32
  6. Step 6: Final answer
    x = 137,833.90

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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.