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Finding the Fourth Proportional to 260,224.50, 359,109.82 and 140,992.50

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Solution

The fourth proportional to 260,224.50, 359,109.82 and 140,992.50 is: 194,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,224.50 : 359,109.82 = 140,992.50 : x
  2. Step 2: Convert to fraction form
    260,224.50/359,109.82 = 140,992.50/x
  3. Step 3: Cross multiply
    260,224.50x = 359,109.82 × 140,992.50
  4. Step 4: Simplify right side
    260,224.50x = 50,631,791,296.35
  5. Step 5: Solve for x
    x = 50,631,791,296.35/260,224.50
  6. Step 6: Final answer
    x = 194,569.66

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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.