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Finding the Fourth Proportional to 263,542.65, 363,688.98 and 142,683.96

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Solution

The fourth proportional to 263,542.65, 363,688.98 and 142,683.96 is: 196,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,542.65 : 363,688.98 = 142,683.96 : x
  2. Step 2: Convert to fraction form
    263,542.65/363,688.98 = 142,683.96/x
  3. Step 3: Cross multiply
    263,542.65x = 363,688.98 × 142,683.96
  4. Step 4: Simplify right side
    263,542.65x = 51,892,583,874.76
  5. Step 5: Solve for x
    x = 51,892,583,874.76/263,542.65
  6. Step 6: Final answer
    x = 196,903.93

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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.