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Finding the Fourth Proportional to 225,366.98, 337,998 and 105,506.63

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Solution

The fourth proportional to 225,366.98, 337,998 and 105,506.63 is: 158,235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,366.98 : 337,998 = 105,506.63 : x
  2. Step 2: Convert to fraction form
    225,366.98/337,998 = 105,506.63/x
  3. Step 3: Cross multiply
    225,366.98x = 337,998 × 105,506.63
  4. Step 4: Simplify right side
    225,366.98x = 35,661,028,236.75
  5. Step 5: Solve for x
    x = 35,661,028,236.75/225,366.98
  6. Step 6: Final answer
    x = 158,235.37

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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.