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Finding the Fourth Proportional to 277,151.70, 414,687.51 and 164,419.14

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Solution

The fourth proportional to 277,151.70, 414,687.51 and 164,419.14 is: 246,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,151.70 : 414,687.51 = 164,419.14 : x
  2. Step 2: Convert to fraction form
    277,151.70/414,687.51 = 164,419.14/x
  3. Step 3: Cross multiply
    277,151.70x = 414,687.51 × 164,419.14
  4. Step 4: Simplify right side
    277,151.70x = 68,182,563,762.94
  5. Step 5: Solve for x
    x = 68,182,563,762.94/277,151.70
  6. Step 6: Final answer
    x = 246,011.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.