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Finding the Fourth Proportional to 285,765.26, 428,695.27 and 96,241.66

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Solution

The fourth proportional to 285,765.26, 428,695.27 and 96,241.66 is: 144,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,765.26 : 428,695.27 = 96,241.66 : x
  2. Step 2: Convert to fraction form
    285,765.26/428,695.27 = 96,241.66/x
  3. Step 3: Cross multiply
    285,765.26x = 428,695.27 × 96,241.66
  4. Step 4: Simplify right side
    285,765.26x = 41,258,343,106.61
  5. Step 5: Solve for x
    x = 41,258,343,106.61/285,765.26
  6. Step 6: Final answer
    x = 144,378.44

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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.