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Finding the Fourth Proportional to 299,147.40, 412,748.66 and 182,831.14

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Solution

The fourth proportional to 299,147.40, 412,748.66 and 182,831.14 is: 252,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,147.40 : 412,748.66 = 182,831.14 : x
  2. Step 2: Convert to fraction form
    299,147.40/412,748.66 = 182,831.14/x
  3. Step 3: Cross multiply
    299,147.40x = 412,748.66 × 182,831.14
  4. Step 4: Simplify right side
    299,147.40x = 75,463,308,041.27
  5. Step 5: Solve for x
    x = 75,463,308,041.27/299,147.40
  6. Step 6: Final answer
    x = 252,261.29

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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.