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Finding the Fourth Proportional to 263,563.13, 363,715.53 and 142,701.86

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Solution

The fourth proportional to 263,563.13, 363,715.53 and 142,701.86 is: 196,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,563.13 : 363,715.53 = 142,701.86 : x
  2. Step 2: Convert to fraction form
    263,563.13/363,715.53 = 142,701.86/x
  3. Step 3: Cross multiply
    263,563.13x = 363,715.53 × 142,701.86
  4. Step 4: Simplify right side
    263,563.13x = 51,902,880,823.31
  5. Step 5: Solve for x
    x = 51,902,880,823.31/263,563.13
  6. Step 6: Final answer
    x = 196,927.70

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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.