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Finding the Fourth Proportional to 190,513.50, 285,834.24 and 133,646.64

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Solution

The fourth proportional to 190,513.50, 285,834.24 and 133,646.64 is: 200,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,513.50 : 285,834.24 = 133,646.64 : x
  2. Step 2: Convert to fraction form
    190,513.50/285,834.24 = 133,646.64/x
  3. Step 3: Cross multiply
    190,513.50x = 285,834.24 × 133,646.64
  4. Step 4: Simplify right side
    190,513.50x = 38,200,785,772.95
  5. Step 5: Solve for x
    x = 38,200,785,772.95/190,513.50
  6. Step 6: Final answer
    x = 200,514.85

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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.