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Finding the Fourth Proportional to 231,232.32, 346,846.68 and 118,944

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Solution

The fourth proportional to 231,232.32, 346,846.68 and 118,944 is: 178,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,232.32 : 346,846.68 = 118,944 : x
  2. Step 2: Convert to fraction form
    231,232.32/346,846.68 = 118,944/x
  3. Step 3: Cross multiply
    231,232.32x = 346,846.68 × 118,944
  4. Step 4: Simplify right side
    231,232.32x = 41,255,331,505.92
  5. Step 5: Solve for x
    x = 41,255,331,505.92/231,232.32
  6. Step 6: Final answer
    x = 178,415.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.