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Finding the Fourth Proportional to 200,785.96, 301,188.93 and 65,863.63

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Solution

The fourth proportional to 200,785.96, 301,188.93 and 65,863.63 is: 98,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,785.96 : 301,188.93 = 65,863.63 : x
  2. Step 2: Convert to fraction form
    200,785.96/301,188.93 = 65,863.63/x
  3. Step 3: Cross multiply
    200,785.96x = 301,188.93 × 65,863.63
  4. Step 4: Simplify right side
    200,785.96x = 19,837,396,745.60
  5. Step 5: Solve for x
    x = 19,837,396,745.60/200,785.96
  6. Step 6: Final answer
    x = 98,798.72

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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.