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Finding the Fourth Proportional to 322,178.02, 483,268.91 and 108,947.46

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Solution

The fourth proportional to 322,178.02, 483,268.91 and 108,947.46 is: 163,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,178.02 : 483,268.91 = 108,947.46 : x
  2. Step 2: Convert to fraction form
    322,178.02/483,268.91 = 108,947.46/x
  3. Step 3: Cross multiply
    322,178.02x = 483,268.91 × 108,947.46
  4. Step 4: Simplify right side
    322,178.02x = 52,650,917,737.82
  5. Step 5: Solve for x
    x = 52,650,917,737.82/322,178.02
  6. Step 6: Final answer
    x = 163,421.82

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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.