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Finding the Fourth Proportional to 301,937.94, 416,683.80 and 165,982.37

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Solution

The fourth proportional to 301,937.94, 416,683.80 and 165,982.37 is: 229,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,937.94 : 416,683.80 = 165,982.37 : x
  2. Step 2: Convert to fraction form
    301,937.94/416,683.80 = 165,982.37/x
  3. Step 3: Cross multiply
    301,937.94x = 416,683.80 × 165,982.37
  4. Step 4: Simplify right side
    301,937.94x = 69,162,162,581.19
  5. Step 5: Solve for x
    x = 69,162,162,581.19/301,937.94
  6. Step 6: Final answer
    x = 229,060.85

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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.