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Finding the Fourth Proportional to 231,106, 318,928.40 and 135,614.24

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Solution

The fourth proportional to 231,106, 318,928.40 and 135,614.24 is: 187,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,106 : 318,928.40 = 135,614.24 : x
  2. Step 2: Convert to fraction form
    231,106/318,928.40 = 135,614.24/x
  3. Step 3: Cross multiply
    231,106x = 318,928.40 × 135,614.24
  4. Step 4: Simplify right side
    231,106x = 43,251,232,580.42
  5. Step 5: Solve for x
    x = 43,251,232,580.42/231,106
  6. Step 6: Final answer
    x = 187,148.90

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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.