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Finding the Fourth Proportional to 274,186.84, 378,388.16 and 153,327.83

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Solution

The fourth proportional to 274,186.84, 378,388.16 and 153,327.83 is: 211,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,186.84 : 378,388.16 = 153,327.83 : x
  2. Step 2: Convert to fraction form
    274,186.84/378,388.16 = 153,327.83/x
  3. Step 3: Cross multiply
    274,186.84x = 378,388.16 × 153,327.83
  4. Step 4: Simplify right side
    274,186.84x = 58,017,435,470.49
  5. Step 5: Solve for x
    x = 58,017,435,470.49/274,186.84
  6. Step 6: Final answer
    x = 211,598.18

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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.