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Finding the Fourth Proportional to 167,409.68, 230,923.05 and 99,380.48

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Solution

The fourth proportional to 167,409.68, 230,923.05 and 99,380.48 is: 137,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,409.68 : 230,923.05 = 99,380.48 : x
  2. Step 2: Convert to fraction form
    167,409.68/230,923.05 = 99,380.48/x
  3. Step 3: Cross multiply
    167,409.68x = 230,923.05 × 99,380.48
  4. Step 4: Simplify right side
    167,409.68x = 22,949,243,552.06
  5. Step 5: Solve for x
    x = 22,949,243,552.06/167,409.68
  6. Step 6: Final answer
    x = 137,084.33

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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.