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Finding the Fourth Proportional to 229,484.97, 344,108.63 and 103,016.30

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Solution

The fourth proportional to 229,484.97, 344,108.63 and 103,016.30 is: 154,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,484.97 : 344,108.63 = 103,016.30 : x
  2. Step 2: Convert to fraction form
    229,484.97/344,108.63 = 103,016.30/x
  3. Step 3: Cross multiply
    229,484.97x = 344,108.63 × 103,016.30
  4. Step 4: Simplify right side
    229,484.97x = 35,448,795,625.04
  5. Step 5: Solve for x
    x = 35,448,795,625.04/229,484.97
  6. Step 6: Final answer
    x = 154,471.10

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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.