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Finding the Fourth Proportional to 285,752.03, 428,327.97 and 96,146.57

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Solution

The fourth proportional to 285,752.03, 428,327.97 and 96,146.57 is: 144,118.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,752.03 : 428,327.97 = 96,146.57 : x
  2. Step 2: Convert to fraction form
    285,752.03/428,327.97 = 96,146.57/x
  3. Step 3: Cross multiply
    285,752.03x = 428,327.97 × 96,146.57
  4. Step 4: Simplify right side
    285,752.03x = 41,182,265,467.40
  5. Step 5: Solve for x
    x = 41,182,265,467.40/285,752.03
  6. Step 6: Final answer
    x = 144,118.89

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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.