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Finding the Fourth Proportional to 205,269.40, 307,860.90 and 86,944.60

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Solution

The fourth proportional to 205,269.40, 307,860.90 and 86,944.60 is: 130,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,269.40 : 307,860.90 = 86,944.60 : x
  2. Step 2: Convert to fraction form
    205,269.40/307,860.90 = 86,944.60/x
  3. Step 3: Cross multiply
    205,269.40x = 307,860.90 × 86,944.60
  4. Step 4: Simplify right side
    205,269.40x = 26,766,842,806.14
  5. Step 5: Solve for x
    x = 26,766,842,806.14/205,269.40
  6. Step 6: Final answer
    x = 130,398.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.