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Finding the Fourth Proportional to 148,753.87, 204,937.76 and 102,769.46

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Solution

The fourth proportional to 148,753.87, 204,937.76 and 102,769.46 is: 141,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,753.87 : 204,937.76 = 102,769.46 : x
  2. Step 2: Convert to fraction form
    148,753.87/204,937.76 = 102,769.46/x
  3. Step 3: Cross multiply
    148,753.87x = 204,937.76 × 102,769.46
  4. Step 4: Simplify right side
    148,753.87x = 21,061,341,904.12
  5. Step 5: Solve for x
    x = 21,061,341,904.12/148,753.87
  6. Step 6: Final answer
    x = 141,585.17

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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.