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Finding the Fourth Proportional to 146,339.78, 201,937.65 and 82,683.38

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Solution

The fourth proportional to 146,339.78, 201,937.65 and 82,683.38 is: 114,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,339.78 : 201,937.65 = 82,683.38 : x
  2. Step 2: Convert to fraction form
    146,339.78/201,937.65 = 82,683.38/x
  3. Step 3: Cross multiply
    146,339.78x = 201,937.65 × 82,683.38
  4. Step 4: Simplify right side
    146,339.78x = 16,696,887,451.26
  5. Step 5: Solve for x
    x = 16,696,887,451.26/146,339.78
  6. Step 6: Final answer
    x = 114,096.71

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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.