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Finding the Fourth Proportional to 356,723.20, 535,084.80 and 146,252.80

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Solution

The fourth proportional to 356,723.20, 535,084.80 and 146,252.80 is: 219,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,723.20 : 535,084.80 = 146,252.80 : x
  2. Step 2: Convert to fraction form
    356,723.20/535,084.80 = 146,252.80/x
  3. Step 3: Cross multiply
    356,723.20x = 535,084.80 × 146,252.80
  4. Step 4: Simplify right side
    356,723.20x = 78,257,650,237.44
  5. Step 5: Solve for x
    x = 78,257,650,237.44/356,723.20
  6. Step 6: Final answer
    x = 219,379.20

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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.