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Finding the Fourth Proportional to 180,463.40, 270,695.10 and 91,889.90

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Solution

The fourth proportional to 180,463.40, 270,695.10 and 91,889.90 is: 137,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,463.40 : 270,695.10 = 91,889.90 : x
  2. Step 2: Convert to fraction form
    180,463.40/270,695.10 = 91,889.90/x
  3. Step 3: Cross multiply
    180,463.40x = 270,695.10 × 91,889.90
  4. Step 4: Simplify right side
    180,463.40x = 24,874,145,669.49
  5. Step 5: Solve for x
    x = 24,874,145,669.49/180,463.40
  6. Step 6: Final answer
    x = 137,834.85

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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.