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Finding the Fourth Proportional to 285,572.42, 428,380.16 and 96,033.33

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Solution

The fourth proportional to 285,572.42, 428,380.16 and 96,033.33 is: 144,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,572.42 : 428,380.16 = 96,033.33 : x
  2. Step 2: Convert to fraction form
    285,572.42/428,380.16 = 96,033.33/x
  3. Step 3: Cross multiply
    285,572.42x = 428,380.16 × 96,033.33
  4. Step 4: Simplify right side
    285,572.42x = 41,138,772,790.57
  5. Step 5: Solve for x
    x = 41,138,772,790.57/285,572.42
  6. Step 6: Final answer
    x = 144,057.23

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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.