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Finding the Fourth Proportional to 274,194.68, 378,386 and 153,334.56

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Solution

The fourth proportional to 274,194.68, 378,386 and 153,334.56 is: 211,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,194.68 : 378,386 = 153,334.56 : x
  2. Step 2: Convert to fraction form
    274,194.68/378,386 = 153,334.56/x
  3. Step 3: Cross multiply
    274,194.68x = 378,386 × 153,334.56
  4. Step 4: Simplify right side
    274,194.68x = 58,019,650,820.16
  5. Step 5: Solve for x
    x = 58,019,650,820.16/274,194.68
  6. Step 6: Final answer
    x = 211,600.21

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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.