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Finding the Fourth Proportional to 192,803.22, 288,701.82 and 155,157.66

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Solution

The fourth proportional to 192,803.22, 288,701.82 and 155,157.66 is: 232,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,803.22 : 288,701.82 = 155,157.66 : x
  2. Step 2: Convert to fraction form
    192,803.22/288,701.82 = 155,157.66/x
  3. Step 3: Cross multiply
    192,803.22x = 288,701.82 × 155,157.66
  4. Step 4: Simplify right side
    192,803.22x = 44,794,298,828.94
  5. Step 5: Solve for x
    x = 44,794,298,828.94/192,803.22
  6. Step 6: Final answer
    x = 232,331.69

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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.