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Finding the Fourth Proportional to 181,664.60, 272,496.90 and 137,427.80

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Solution

The fourth proportional to 181,664.60, 272,496.90 and 137,427.80 is: 206,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,664.60 : 272,496.90 = 137,427.80 : x
  2. Step 2: Convert to fraction form
    181,664.60/272,496.90 = 137,427.80/x
  3. Step 3: Cross multiply
    181,664.60x = 272,496.90 × 137,427.80
  4. Step 4: Simplify right side
    181,664.60x = 37,448,649,473.82
  5. Step 5: Solve for x
    x = 37,448,649,473.82/181,664.60
  6. Step 6: Final answer
    x = 206,141.70

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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.