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Finding the Fourth Proportional to 180,644, 271,031.16 and 96,315.44

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Solution

The fourth proportional to 180,644, 271,031.16 and 96,315.44 is: 144,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,644 : 271,031.16 = 96,315.44 : x
  2. Step 2: Convert to fraction form
    180,644/271,031.16 = 96,315.44/x
  3. Step 3: Cross multiply
    180,644x = 271,031.16 × 96,315.44
  4. Step 4: Simplify right side
    180,644x = 26,104,485,429.11
  5. Step 5: Solve for x
    x = 26,104,485,429.11/180,644
  6. Step 6: Final answer
    x = 144,507.90

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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.