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Finding the Fourth Proportional to 213,592.56, 320,377.74 and 63,834.06

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Solution

The fourth proportional to 213,592.56, 320,377.74 and 63,834.06 is: 95,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,592.56 : 320,377.74 = 63,834.06 : x
  2. Step 2: Convert to fraction form
    213,592.56/320,377.74 = 63,834.06/x
  3. Step 3: Cross multiply
    213,592.56x = 320,377.74 × 63,834.06
  4. Step 4: Simplify right side
    213,592.56x = 20,451,011,877.82
  5. Step 5: Solve for x
    x = 20,451,011,877.82/213,592.56
  6. Step 6: Final answer
    x = 95,747.77

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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.