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Finding the Fourth Proportional to 159,248.68, 219,853.82 and 105,606.11

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Solution

The fourth proportional to 159,248.68, 219,853.82 and 105,606.11 is: 145,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,248.68 : 219,853.82 = 105,606.11 : x
  2. Step 2: Convert to fraction form
    159,248.68/219,853.82 = 105,606.11/x
  3. Step 3: Cross multiply
    159,248.68x = 219,853.82 × 105,606.11
  4. Step 4: Simplify right side
    159,248.68x = 23,217,906,170.81
  5. Step 5: Solve for x
    x = 23,217,906,170.81/159,248.68
  6. Step 6: Final answer
    x = 145,796.54

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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.