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Finding the Fourth Proportional to 102,666, 154,060.44 and 44,298

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Solution

The fourth proportional to 102,666, 154,060.44 and 44,298 is: 66,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,666 : 154,060.44 = 44,298 : x
  2. Step 2: Convert to fraction form
    102,666/154,060.44 = 44,298/x
  3. Step 3: Cross multiply
    102,666x = 154,060.44 × 44,298
  4. Step 4: Simplify right side
    102,666x = 6,824,569,371.12
  5. Step 5: Solve for x
    x = 6,824,569,371.12/102,666
  6. Step 6: Final answer
    x = 66,473.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.