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Finding the Fourth Proportional to 159,266.54, 219,787.86 and 87,646.56

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Solution

The fourth proportional to 159,266.54, 219,787.86 and 87,646.56 is: 120,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,266.54 : 219,787.86 = 87,646.56 : x
  2. Step 2: Convert to fraction form
    159,266.54/219,787.86 = 87,646.56/x
  3. Step 3: Cross multiply
    159,266.54x = 219,787.86 × 87,646.56
  4. Step 4: Simplify right side
    159,266.54x = 19,263,649,639.65
  5. Step 5: Solve for x
    x = 19,263,649,639.65/159,266.54
  6. Step 6: Final answer
    x = 120,952.27

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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.