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Finding the Fourth Proportional to 300,249, 414,356.76 and 166,113

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Solution

The fourth proportional to 300,249, 414,356.76 and 166,113 is: 229,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,249 : 414,356.76 = 166,113 : x
  2. Step 2: Convert to fraction form
    300,249/414,356.76 = 166,113/x
  3. Step 3: Cross multiply
    300,249x = 414,356.76 × 166,113
  4. Step 4: Simplify right side
    300,249x = 68,830,044,473.88
  5. Step 5: Solve for x
    x = 68,830,044,473.88/300,249
  6. Step 6: Final answer
    x = 229,243.21

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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.