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Finding the Fourth Proportional to 167,314.84, 230,816.46 and 103,629.40

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Solution

The fourth proportional to 167,314.84, 230,816.46 and 103,629.40 is: 142,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,314.84 : 230,816.46 = 103,629.40 : x
  2. Step 2: Convert to fraction form
    167,314.84/230,816.46 = 103,629.40/x
  3. Step 3: Cross multiply
    167,314.84x = 230,816.46 × 103,629.40
  4. Step 4: Simplify right side
    167,314.84x = 23,919,371,259.92
  5. Step 5: Solve for x
    x = 23,919,371,259.92/167,314.84
  6. Step 6: Final answer
    x = 142,960.25

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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.