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Finding the Fourth Proportional to 146,852.38, 202,657.71 and 83,188.81

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Solution

The fourth proportional to 146,852.38, 202,657.71 and 83,188.81 is: 114,801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,852.38 : 202,657.71 = 83,188.81 : x
  2. Step 2: Convert to fraction form
    146,852.38/202,657.71 = 83,188.81/x
  3. Step 3: Cross multiply
    146,852.38x = 202,657.71 × 83,188.81
  4. Step 4: Simplify right side
    146,852.38x = 16,858,853,732.23
  5. Step 5: Solve for x
    x = 16,858,853,732.23/146,852.38
  6. Step 6: Final answer
    x = 114,801.37

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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.