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Finding the Fourth Proportional to 311,387.40, 467,080.92 and 101,025.36

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Solution

The fourth proportional to 311,387.40, 467,080.92 and 101,025.36 is: 151,537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,387.40 : 467,080.92 = 101,025.36 : x
  2. Step 2: Convert to fraction form
    311,387.40/467,080.92 = 101,025.36/x
  3. Step 3: Cross multiply
    311,387.40x = 467,080.92 × 101,025.36
  4. Step 4: Simplify right side
    311,387.40x = 47,187,018,092.13
  5. Step 5: Solve for x
    x = 47,187,018,092.13/311,387.40
  6. Step 6: Final answer
    x = 151,537.98

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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.