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Finding the Fourth Proportional to 180,963.30, 271,313.73 and 121,651.86

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Solution

The fourth proportional to 180,963.30, 271,313.73 and 121,651.86 is: 182,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,963.30 : 271,313.73 = 121,651.86 : x
  2. Step 2: Convert to fraction form
    180,963.30/271,313.73 = 121,651.86/x
  3. Step 3: Cross multiply
    180,963.30x = 271,313.73 × 121,651.86
  4. Step 4: Simplify right side
    180,963.30x = 33,005,819,898.04
  5. Step 5: Solve for x
    x = 33,005,819,898.04/180,963.30
  6. Step 6: Final answer
    x = 182,389.58

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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.