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Finding the Fourth Proportional to 159,681.83, 220,387.25 and 96,054.71

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Solution

The fourth proportional to 159,681.83, 220,387.25 and 96,054.71 is: 132,571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,681.83 : 220,387.25 = 96,054.71 : x
  2. Step 2: Convert to fraction form
    159,681.83/220,387.25 = 96,054.71/x
  3. Step 3: Cross multiply
    159,681.83x = 220,387.25 × 96,054.71
  4. Step 4: Simplify right side
    159,681.83x = 21,169,232,524.65
  5. Step 5: Solve for x
    x = 21,169,232,524.65/159,681.83
  6. Step 6: Final answer
    x = 132,571.33

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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.