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Finding the Fourth Proportional to 180,956.80, 271,694.40 and 102,224.80

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Solution

The fourth proportional to 180,956.80, 271,694.40 and 102,224.80 is: 153,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,956.80 : 271,694.40 = 102,224.80 : x
  2. Step 2: Convert to fraction form
    180,956.80/271,694.40 = 102,224.80/x
  3. Step 3: Cross multiply
    180,956.80x = 271,694.40 × 102,224.80
  4. Step 4: Simplify right side
    180,956.80x = 27,773,905,701.12
  5. Step 5: Solve for x
    x = 27,773,905,701.12/180,956.80
  6. Step 6: Final answer
    x = 153,483.63

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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.