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Finding the Fourth Proportional to 311,796.96, 467,345.52 and 154,136.13

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Solution

The fourth proportional to 311,796.96, 467,345.52 and 154,136.13 is: 231,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,796.96 : 467,345.52 = 154,136.13 : x
  2. Step 2: Convert to fraction form
    311,796.96/467,345.52 = 154,136.13/x
  3. Step 3: Cross multiply
    311,796.96x = 467,345.52 × 154,136.13
  4. Step 4: Simplify right side
    311,796.96x = 72,034,829,825.64
  5. Step 5: Solve for x
    x = 72,034,829,825.64/311,796.96
  6. Step 6: Final answer
    x = 231,031.21

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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.