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Finding the Fourth Proportional to 259,098.64, 388,647.96 and 101,216.38

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Solution

The fourth proportional to 259,098.64, 388,647.96 and 101,216.38 is: 151,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,098.64 : 388,647.96 = 101,216.38 : x
  2. Step 2: Convert to fraction form
    259,098.64/388,647.96 = 101,216.38/x
  3. Step 3: Cross multiply
    259,098.64x = 388,647.96 × 101,216.38
  4. Step 4: Simplify right side
    259,098.64x = 39,337,539,605.58
  5. Step 5: Solve for x
    x = 39,337,539,605.58/259,098.64
  6. Step 6: Final answer
    x = 151,824.57

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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.