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Finding the Fourth Proportional to 285,751.80, 428,627.64 and 96,196.26

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Solution

The fourth proportional to 285,751.80, 428,627.64 and 96,196.26 is: 144,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,751.80 : 428,627.64 = 96,196.26 : x
  2. Step 2: Convert to fraction form
    285,751.80/428,627.64 = 96,196.26/x
  3. Step 3: Cross multiply
    285,751.80x = 428,627.64 × 96,196.26
  4. Step 4: Simplify right side
    285,751.80x = 41,232,375,900.63
  5. Step 5: Solve for x
    x = 41,232,375,900.63/285,751.80
  6. Step 6: Final answer
    x = 144,294.37

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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.