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Finding the Fourth Proportional to 229,194.70, 343,862.44 and 109,404.50

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Solution

The fourth proportional to 229,194.70, 343,862.44 and 109,404.50 is: 164,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,194.70 : 343,862.44 = 109,404.50 : x
  2. Step 2: Convert to fraction form
    229,194.70/343,862.44 = 109,404.50/x
  3. Step 3: Cross multiply
    229,194.70x = 343,862.44 × 109,404.50
  4. Step 4: Simplify right side
    229,194.70x = 37,620,099,428.81
  5. Step 5: Solve for x
    x = 37,620,099,428.81/229,194.70
  6. Step 6: Final answer
    x = 164,140.36

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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.