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Finding the Fourth Proportional to 141,468.42, 195,231.99 and 77,812.14

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Solution

The fourth proportional to 141,468.42, 195,231.99 and 77,812.14 is: 107,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,468.42 : 195,231.99 = 77,812.14 : x
  2. Step 2: Convert to fraction form
    141,468.42/195,231.99 = 77,812.14/x
  3. Step 3: Cross multiply
    141,468.42x = 195,231.99 × 77,812.14
  4. Step 4: Simplify right side
    141,468.42x = 15,191,418,938.36
  5. Step 5: Solve for x
    x = 15,191,418,938.36/141,468.42
  6. Step 6: Final answer
    x = 107,383.82

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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.