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Finding the Fourth Proportional to 143,209.01, 214,844.49 and 54,464.19

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Solution

The fourth proportional to 143,209.01, 214,844.49 and 54,464.19 is: 81,708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,209.01 : 214,844.49 = 54,464.19 : x
  2. Step 2: Convert to fraction form
    143,209.01/214,844.49 = 54,464.19/x
  3. Step 3: Cross multiply
    143,209.01x = 214,844.49 × 54,464.19
  4. Step 4: Simplify right side
    143,209.01x = 11,701,331,123.81
  5. Step 5: Solve for x
    x = 11,701,331,123.81/143,209.01
  6. Step 6: Final answer
    x = 81,708.07

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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.