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Finding the Fourth Proportional to 155,150.53, 214,116.86 and 116,842.49

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Solution

The fourth proportional to 155,150.53, 214,116.86 and 116,842.49 is: 161,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,150.53 : 214,116.86 = 116,842.49 : x
  2. Step 2: Convert to fraction form
    155,150.53/214,116.86 = 116,842.49/x
  3. Step 3: Cross multiply
    155,150.53x = 214,116.86 × 116,842.49
  4. Step 4: Simplify right side
    155,150.53x = 25,017,947,073.38
  5. Step 5: Solve for x
    x = 25,017,947,073.38/155,150.53
  6. Step 6: Final answer
    x = 161,249.51

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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.