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Finding the Fourth Proportional to 286,781.90, 395,756.60 and 159,456.38

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Solution

The fourth proportional to 286,781.90, 395,756.60 and 159,456.38 is: 220,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,781.90 : 395,756.60 = 159,456.38 : x
  2. Step 2: Convert to fraction form
    286,781.90/395,756.60 = 159,456.38/x
  3. Step 3: Cross multiply
    286,781.90x = 395,756.60 × 159,456.38
  4. Step 4: Simplify right side
    286,781.90x = 63,105,912,021.04
  5. Step 5: Solve for x
    x = 63,105,912,021.04/286,781.90
  6. Step 6: Final answer
    x = 220,048.45

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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.