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Finding the Fourth Proportional to 286,884.98, 395,853.17 and 159,543.54

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Solution

The fourth proportional to 286,884.98, 395,853.17 and 159,543.54 is: 220,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,884.98 : 395,853.17 = 159,543.54 : x
  2. Step 2: Convert to fraction form
    286,884.98/395,853.17 = 159,543.54/x
  3. Step 3: Cross multiply
    286,884.98x = 395,853.17 × 159,543.54
  4. Step 4: Simplify right side
    286,884.98x = 63,155,816,062.02
  5. Step 5: Solve for x
    x = 63,155,816,062.02/286,884.98
  6. Step 6: Final answer
    x = 220,143.33

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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.