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Finding the Fourth Proportional to 273,904.16, 377,770.24 and 166,472.16

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Solution

The fourth proportional to 273,904.16, 377,770.24 and 166,472.16 is: 229,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,904.16 : 377,770.24 = 166,472.16 : x
  2. Step 2: Convert to fraction form
    273,904.16/377,770.24 = 166,472.16/x
  3. Step 3: Cross multiply
    273,904.16x = 377,770.24 × 166,472.16
  4. Step 4: Simplify right side
    273,904.16x = 62,888,227,836.52
  5. Step 5: Solve for x
    x = 62,888,227,836.52/273,904.16
  6. Step 6: Final answer
    x = 229,599.39

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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.