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Finding the Fourth Proportional to 242,086.96, 334,122.47 and 140,096.22

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Solution

The fourth proportional to 242,086.96, 334,122.47 and 140,096.22 is: 193,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,086.96 : 334,122.47 = 140,096.22 : x
  2. Step 2: Convert to fraction form
    242,086.96/334,122.47 = 140,096.22/x
  3. Step 3: Cross multiply
    242,086.96x = 334,122.47 × 140,096.22
  4. Step 4: Simplify right side
    242,086.96x = 46,809,295,064.06
  5. Step 5: Solve for x
    x = 46,809,295,064.06/242,086.96
  6. Step 6: Final answer
    x = 193,357.36

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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.