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Finding the Fourth Proportional to 193,292.33, 289,822.01 and 86,657.01

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Solution

The fourth proportional to 193,292.33, 289,822.01 and 86,657.01 is: 129,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,292.33 : 289,822.01 = 86,657.01 : x
  2. Step 2: Convert to fraction form
    193,292.33/289,822.01 = 86,657.01/x
  3. Step 3: Cross multiply
    193,292.33x = 289,822.01 × 86,657.01
  4. Step 4: Simplify right side
    193,292.33x = 25,115,107,542.40
  5. Step 5: Solve for x
    x = 25,115,107,542.40/193,292.33
  6. Step 6: Final answer
    x = 129,933.28

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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.