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Finding the Fourth Proportional to 564,107.91, 846,163.70 and 143,383.78

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Solution

The fourth proportional to 564,107.91, 846,163.70 and 143,383.78 is: 215,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,107.91 : 846,163.70 = 143,383.78 : x
  2. Step 2: Convert to fraction form
    564,107.91/846,163.70 = 143,383.78/x
  3. Step 3: Cross multiply
    564,107.91x = 846,163.70 × 143,383.78
  4. Step 4: Simplify right side
    564,107.91x = 121,326,149,804.79
  5. Step 5: Solve for x
    x = 121,326,149,804.79/564,107.91
  6. Step 6: Final answer
    x = 215,076.14

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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.