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Finding the Fourth Proportional to 258,728.41, 388,141.95 and 90,296.85

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Solution

The fourth proportional to 258,728.41, 388,141.95 and 90,296.85 is: 135,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,728.41 : 388,141.95 = 90,296.85 : x
  2. Step 2: Convert to fraction form
    258,728.41/388,141.95 = 90,296.85/x
  3. Step 3: Cross multiply
    258,728.41x = 388,141.95 × 90,296.85
  4. Step 4: Simplify right side
    258,728.41x = 35,047,995,437.86
  5. Step 5: Solve for x
    x = 35,047,995,437.86/258,728.41
  6. Step 6: Final answer
    x = 135,462.49

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