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Finding the Fourth Proportional to 193,321.87, 289,866.32 and 86,686.53

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Solution

The fourth proportional to 193,321.87, 289,866.32 and 86,686.53 is: 129,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,321.87 : 289,866.32 = 86,686.53 : x
  2. Step 2: Convert to fraction form
    193,321.87/289,866.32 = 86,686.53/x
  3. Step 3: Cross multiply
    193,321.87x = 289,866.32 × 86,686.53
  4. Step 4: Simplify right side
    193,321.87x = 25,127,505,444.67
  5. Step 5: Solve for x
    x = 25,127,505,444.67/193,321.87
  6. Step 6: Final answer
    x = 129,977.56

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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.