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Finding the Fourth Proportional to 193,779.87, 290,605.14 and 81,439.16

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Solution

The fourth proportional to 193,779.87, 290,605.14 and 81,439.16 is: 122,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,779.87 : 290,605.14 = 81,439.16 : x
  2. Step 2: Convert to fraction form
    193,779.87/290,605.14 = 81,439.16/x
  3. Step 3: Cross multiply
    193,779.87x = 290,605.14 × 81,439.16
  4. Step 4: Simplify right side
    193,779.87x = 23,666,637,040.26
  5. Step 5: Solve for x
    x = 23,666,637,040.26/193,779.87
  6. Step 6: Final answer
    x = 122,131.56

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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.