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Finding the Fourth Proportional to 121,310.84, 181,966.26 and 47,387

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Solution

The fourth proportional to 121,310.84, 181,966.26 and 47,387 is: 71,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,310.84 : 181,966.26 = 47,387 : x
  2. Step 2: Convert to fraction form
    121,310.84/181,966.26 = 47,387/x
  3. Step 3: Cross multiply
    121,310.84x = 181,966.26 × 47,387
  4. Step 4: Simplify right side
    121,310.84x = 8,622,835,162.62
  5. Step 5: Solve for x
    x = 8,622,835,162.62/121,310.84
  6. Step 6: Final answer
    x = 71,080.50

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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.