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Finding the Fourth Proportional to 225,955.96, 338,520.84 and 105,792.46

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Solution

The fourth proportional to 225,955.96, 338,520.84 and 105,792.46 is: 158,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,955.96 : 338,520.84 = 105,792.46 : x
  2. Step 2: Convert to fraction form
    225,955.96/338,520.84 = 105,792.46/x
  3. Step 3: Cross multiply
    225,955.96x = 338,520.84 × 105,792.46
  4. Step 4: Simplify right side
    225,955.96x = 35,812,952,424.87
  5. Step 5: Solve for x
    x = 35,812,952,424.87/225,955.96
  6. Step 6: Final answer
    x = 158,495.28

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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.