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Finding the Fourth Proportional to 225,037.23, 337,721.98 and 106,708.98

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Solution

The fourth proportional to 225,037.23, 337,721.98 and 106,708.98 is: 160,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,037.23 : 337,721.98 = 106,708.98 : x
  2. Step 2: Convert to fraction form
    225,037.23/337,721.98 = 106,708.98/x
  3. Step 3: Cross multiply
    225,037.23x = 337,721.98 × 106,708.98
  4. Step 4: Simplify right side
    225,037.23x = 36,037,968,009.38
  5. Step 5: Solve for x
    x = 36,037,968,009.38/225,037.23
  6. Step 6: Final answer
    x = 160,142.25

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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.