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Finding the Fourth Proportional to 137,822.49, 206,602.51 and 44,262.63

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Solution

The fourth proportional to 137,822.49, 206,602.51 and 44,262.63 is: 66,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,822.49 : 206,602.51 = 44,262.63 : x
  2. Step 2: Convert to fraction form
    137,822.49/206,602.51 = 44,262.63/x
  3. Step 3: Cross multiply
    137,822.49x = 206,602.51 × 44,262.63
  4. Step 4: Simplify right side
    137,822.49x = 9,144,770,457.20
  5. Step 5: Solve for x
    x = 9,144,770,457.20/137,822.49
  6. Step 6: Final answer
    x = 66,351.80

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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.