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Finding the Fourth Proportional to 148,120.70, 204,411.82 and 83,605.64

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Solution

The fourth proportional to 148,120.70, 204,411.82 and 83,605.64 is: 115,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,120.70 : 204,411.82 = 83,605.64 : x
  2. Step 2: Convert to fraction form
    148,120.70/204,411.82 = 83,605.64/x
  3. Step 3: Cross multiply
    148,120.70x = 204,411.82 × 83,605.64
  4. Step 4: Simplify right side
    148,120.70x = 17,089,981,034.66
  5. Step 5: Solve for x
    x = 17,089,981,034.66/148,120.70
  6. Step 6: Final answer
    x = 115,378.75

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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.