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Finding the Fourth Proportional to 202,037.94, 278,807.97 and 117,162.90

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Solution

The fourth proportional to 202,037.94, 278,807.97 and 117,162.90 is: 161,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,037.94 : 278,807.97 = 117,162.90 : x
  2. Step 2: Convert to fraction form
    202,037.94/278,807.97 = 117,162.90/x
  3. Step 3: Cross multiply
    202,037.94x = 278,807.97 × 117,162.90
  4. Step 4: Simplify right side
    202,037.94x = 32,665,950,308.31
  5. Step 5: Solve for x
    x = 32,665,950,308.31/202,037.94
  6. Step 6: Final answer
    x = 161,682.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.