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Finding the Fourth Proportional to 465,159.96, 697,788.22 and 128,200.66

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Solution

The fourth proportional to 465,159.96, 697,788.22 and 128,200.66 is: 192,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,159.96 : 697,788.22 = 128,200.66 : x
  2. Step 2: Convert to fraction form
    465,159.96/697,788.22 = 128,200.66/x
  3. Step 3: Cross multiply
    465,159.96x = 697,788.22 × 128,200.66
  4. Step 4: Simplify right side
    465,159.96x = 89,456,910,344.23
  5. Step 5: Solve for x
    x = 89,456,910,344.23/465,159.96
  6. Step 6: Final answer
    x = 192,314.30

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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.