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Finding the Fourth Proportional to 311,095.04, 466,891.70 and 142,694.69

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Solution

The fourth proportional to 311,095.04, 466,891.70 and 142,694.69 is: 214,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,095.04 : 466,891.70 = 142,694.69 : x
  2. Step 2: Convert to fraction form
    311,095.04/466,891.70 = 142,694.69/x
  3. Step 3: Cross multiply
    311,095.04x = 466,891.70 × 142,694.69
  4. Step 4: Simplify right side
    311,095.04x = 66,622,963,347.14
  5. Step 5: Solve for x
    x = 66,622,963,347.14/311,095.04
  6. Step 6: Final answer
    x = 214,156.31

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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.