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Finding the Fourth Proportional to 152,006.22, 209,769.42 and 83,095.80

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Solution

The fourth proportional to 152,006.22, 209,769.42 and 83,095.80 is: 114,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,006.22 : 209,769.42 = 83,095.80 : x
  2. Step 2: Convert to fraction form
    152,006.22/209,769.42 = 83,095.80/x
  3. Step 3: Cross multiply
    152,006.22x = 209,769.42 × 83,095.80
  4. Step 4: Simplify right side
    152,006.22x = 17,430,957,770.44
  5. Step 5: Solve for x
    x = 17,430,957,770.44/152,006.22
  6. Step 6: Final answer
    x = 114,672.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.