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Finding the Fourth Proportional to 311,192.80, 466,813.74 and 153,335.20

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Solution

The fourth proportional to 311,192.80, 466,813.74 and 153,335.20 is: 230,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,192.80 : 466,813.74 = 153,335.20 : x
  2. Step 2: Convert to fraction form
    311,192.80/466,813.74 = 153,335.20/x
  3. Step 3: Cross multiply
    311,192.80x = 466,813.74 × 153,335.20
  4. Step 4: Simplify right side
    311,192.80x = 71,578,978,185.65
  5. Step 5: Solve for x
    x = 71,578,978,185.65/311,192.80
  6. Step 6: Final answer
    x = 230,014.89

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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.