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Finding the Fourth Proportional to 311,387.36, 467,080.88 and 101,025.28

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Solution

The fourth proportional to 311,387.36, 467,080.88 and 101,025.28 is: 151,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,387.36 : 467,080.88 = 101,025.28 : x
  2. Step 2: Convert to fraction form
    311,387.36/467,080.88 = 101,025.28/x
  3. Step 3: Cross multiply
    311,387.36x = 467,080.88 × 101,025.28
  4. Step 4: Simplify right side
    311,387.36x = 47,186,976,684.65
  5. Step 5: Solve for x
    x = 47,186,976,684.65/311,387.36
  6. Step 6: Final answer
    x = 151,537.87

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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.