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Finding the Fourth Proportional to 199,296.93, 298,894.32 and 59,022.75

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Solution

The fourth proportional to 199,296.93, 298,894.32 and 59,022.75 is: 88,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,296.93 : 298,894.32 = 59,022.75 : x
  2. Step 2: Convert to fraction form
    199,296.93/298,894.32 = 59,022.75/x
  3. Step 3: Cross multiply
    199,296.93x = 298,894.32 × 59,022.75
  4. Step 4: Simplify right side
    199,296.93x = 17,641,564,725.78
  5. Step 5: Solve for x
    x = 17,641,564,725.78/199,296.93
  6. Step 6: Final answer
    x = 88,519.00

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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.