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Finding the Fourth Proportional to 169,541.30, 253,723.29 and 105,473.14

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Solution

The fourth proportional to 169,541.30, 253,723.29 and 105,473.14 is: 157,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,541.30 : 253,723.29 = 105,473.14 : x
  2. Step 2: Convert to fraction form
    169,541.30/253,723.29 = 105,473.14/x
  3. Step 3: Cross multiply
    169,541.30x = 253,723.29 × 105,473.14
  4. Step 4: Simplify right side
    169,541.30x = 26,760,992,087.43
  5. Step 5: Solve for x
    x = 26,760,992,087.43/169,541.30
  6. Step 6: Final answer
    x = 157,843.50

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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.