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Finding the Fourth Proportional to 213,951.75, 295,306.56 and 133,472.88

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Solution

The fourth proportional to 213,951.75, 295,306.56 and 133,472.88 is: 184,225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,951.75 : 295,306.56 = 133,472.88 : x
  2. Step 2: Convert to fraction form
    213,951.75/295,306.56 = 133,472.88/x
  3. Step 3: Cross multiply
    213,951.75x = 295,306.56 × 133,472.88
  4. Step 4: Simplify right side
    213,951.75x = 39,415,417,046.09
  5. Step 5: Solve for x
    x = 39,415,417,046.09/213,951.75
  6. Step 6: Final answer
    x = 184,225.73

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1.5x scale

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.