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Finding the Fourth Proportional to 151,596.66, 209,205 and 83,616.60

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Solution

The fourth proportional to 151,596.66, 209,205 and 83,616.60 is: 115,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,596.66 : 209,205 = 83,616.60 : x
  2. Step 2: Convert to fraction form
    151,596.66/209,205 = 83,616.60/x
  3. Step 3: Cross multiply
    151,596.66x = 209,205 × 83,616.60
  4. Step 4: Simplify right side
    151,596.66x = 17,493,010,803
  5. Step 5: Solve for x
    x = 17,493,010,803/151,596.66
  6. Step 6: Final answer
    x = 115,391.80

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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.