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Finding the Fourth Proportional to 137,400.66, 205,796.46 and 105,576.46

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Solution

The fourth proportional to 137,400.66, 205,796.46 and 105,576.46 is: 158,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,400.66 : 205,796.46 = 105,576.46 : x
  2. Step 2: Convert to fraction form
    137,400.66/205,796.46 = 105,576.46/x
  3. Step 3: Cross multiply
    137,400.66x = 205,796.46 × 105,576.46
  4. Step 4: Simplify right side
    137,400.66x = 21,727,261,727.33
  5. Step 5: Solve for x
    x = 21,727,261,727.33/137,400.66
  6. Step 6: Final answer
    x = 158,130.69

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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.