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Finding the Fourth Proportional to 186,052.86, 256,758.42 and 101,175.42

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Solution

The fourth proportional to 186,052.86, 256,758.42 and 101,175.42 is: 139,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,052.86 : 256,758.42 = 101,175.42 : x
  2. Step 2: Convert to fraction form
    186,052.86/256,758.42 = 101,175.42/x
  3. Step 3: Cross multiply
    186,052.86x = 256,758.42 × 101,175.42
  4. Step 4: Simplify right side
    186,052.86x = 25,977,640,982.04
  5. Step 5: Solve for x
    x = 25,977,640,982.04/186,052.86
  6. Step 6: Final answer
    x = 139,625.06

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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.