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Finding the Fourth Proportional to 144,141.31, 216,211.97 and 104,947.84

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Solution

The fourth proportional to 144,141.31, 216,211.97 and 104,947.84 is: 157,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,141.31 : 216,211.97 = 104,947.84 : x
  2. Step 2: Convert to fraction form
    144,141.31/216,211.97 = 104,947.84/x
  3. Step 3: Cross multiply
    144,141.31x = 216,211.97 × 104,947.84
  4. Step 4: Simplify right side
    144,141.31x = 22,690,979,233.64
  5. Step 5: Solve for x
    x = 22,690,979,233.64/144,141.31
  6. Step 6: Final answer
    x = 157,421.76

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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.