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Finding the Fourth Proportional to 225,318.24, 310,936.32 and 135,894.24

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Solution

The fourth proportional to 225,318.24, 310,936.32 and 135,894.24 is: 187,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,318.24 : 310,936.32 = 135,894.24 : x
  2. Step 2: Convert to fraction form
    225,318.24/310,936.32 = 135,894.24/x
  3. Step 3: Cross multiply
    225,318.24x = 310,936.32 × 135,894.24
  4. Step 4: Simplify right side
    225,318.24x = 42,254,454,894.80
  5. Step 5: Solve for x
    x = 42,254,454,894.80/225,318.24
  6. Step 6: Final answer
    x = 187,532.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.