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Finding the Fourth Proportional to 146,365.70, 201,982.03 and 82,702.13

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Solution

The fourth proportional to 146,365.70, 201,982.03 and 82,702.13 is: 114,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,365.70 : 201,982.03 = 82,702.13 : x
  2. Step 2: Convert to fraction form
    146,365.70/201,982.03 = 82,702.13/x
  3. Step 3: Cross multiply
    146,365.70x = 201,982.03 × 82,702.13
  4. Step 4: Simplify right side
    146,365.70x = 16,704,344,102.72
  5. Step 5: Solve for x
    x = 16,704,344,102.72/146,365.70
  6. Step 6: Final answer
    x = 114,127.45

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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.