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Finding the Fourth Proportional to 224,904.96, 310,601.25 and 194,544.54

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Solution

The fourth proportional to 224,904.96, 310,601.25 and 194,544.54 is: 268,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,904.96 : 310,601.25 = 194,544.54 : x
  2. Step 2: Convert to fraction form
    224,904.96/310,601.25 = 194,544.54/x
  3. Step 3: Cross multiply
    224,904.96x = 310,601.25 × 194,544.54
  4. Step 4: Simplify right side
    224,904.96x = 60,425,777,304.68
  5. Step 5: Solve for x
    x = 60,425,777,304.68/224,904.96
  6. Step 6: Final answer
    x = 268,672.50

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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.