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Finding the Fourth Proportional to 285,772.56, 428,390.61 and 96,100.26

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Solution

The fourth proportional to 285,772.56, 428,390.61 and 96,100.26 is: 144,060.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,772.56 : 428,390.61 = 96,100.26 : x
  2. Step 2: Convert to fraction form
    285,772.56/428,390.61 = 96,100.26/x
  3. Step 3: Cross multiply
    285,772.56x = 428,390.61 × 96,100.26
  4. Step 4: Simplify right side
    285,772.56x = 41,168,449,002.56
  5. Step 5: Solve for x
    x = 41,168,449,002.56/285,772.56
  6. Step 6: Final answer
    x = 144,060.19

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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.