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Finding the Fourth Proportional to 180,662.43, 270,895.91 and 143,461.83

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Solution

The fourth proportional to 180,662.43, 270,895.91 and 143,461.83 is: 215,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,662.43 : 270,895.91 = 143,461.83 : x
  2. Step 2: Convert to fraction form
    180,662.43/270,895.91 = 143,461.83/x
  3. Step 3: Cross multiply
    180,662.43x = 270,895.91 × 143,461.83
  4. Step 4: Simplify right side
    180,662.43x = 38,863,222,270.81
  5. Step 5: Solve for x
    x = 38,863,222,270.81/180,662.43
  6. Step 6: Final answer
    x = 215,115.13

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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.