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Finding the Fourth Proportional to 148,284, 204,631.92 and 81,218.40

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Solution

The fourth proportional to 148,284, 204,631.92 and 81,218.40 is: 112,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,284 : 204,631.92 = 81,218.40 : x
  2. Step 2: Convert to fraction form
    148,284/204,631.92 = 81,218.40/x
  3. Step 3: Cross multiply
    148,284x = 204,631.92 × 81,218.40
  4. Step 4: Simplify right side
    148,284x = 16,619,877,131.33
  5. Step 5: Solve for x
    x = 16,619,877,131.33/148,284
  6. Step 6: Final answer
    x = 112,081.39

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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.