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Finding the Fourth Proportional to 159,282.65, 219,806.02 and 86,682.46

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Solution

The fourth proportional to 159,282.65, 219,806.02 and 86,682.46 is: 119,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,282.65 : 219,806.02 = 86,682.46 : x
  2. Step 2: Convert to fraction form
    159,282.65/219,806.02 = 86,682.46/x
  3. Step 3: Cross multiply
    159,282.65x = 219,806.02 × 86,682.46
  4. Step 4: Simplify right side
    159,282.65x = 19,053,326,536.41
  5. Step 5: Solve for x
    x = 19,053,326,536.41/159,282.65
  6. Step 6: Final answer
    x = 119,619.60

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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.