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Finding the Fourth Proportional to 151,131.48, 208,561.46 and 83,147

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Solution

The fourth proportional to 151,131.48, 208,561.46 and 83,147 is: 114,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,131.48 : 208,561.46 = 83,147 : x
  2. Step 2: Convert to fraction form
    151,131.48/208,561.46 = 83,147/x
  3. Step 3: Cross multiply
    151,131.48x = 208,561.46 × 83,147
  4. Step 4: Simplify right side
    151,131.48x = 17,341,259,714.62
  5. Step 5: Solve for x
    x = 17,341,259,714.62/151,131.48
  6. Step 6: Final answer
    x = 114,742.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.