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Finding the Fourth Proportional to 231,120, 346,122.72 and 112,497.12

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Solution

The fourth proportional to 231,120, 346,122.72 and 112,497.12 is: 168,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,120 : 346,122.72 = 112,497.12 : x
  2. Step 2: Convert to fraction form
    231,120/346,122.72 = 112,497.12/x
  3. Step 3: Cross multiply
    231,120x = 346,122.72 × 112,497.12
  4. Step 4: Simplify right side
    231,120x = 38,937,809,166.57
  5. Step 5: Solve for x
    x = 38,937,809,166.57/231,120
  6. Step 6: Final answer
    x = 168,474.43

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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.