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Finding the Fourth Proportional to 263,516.90, 363,651.65 and 142,657.30

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Solution

The fourth proportional to 263,516.90, 363,651.65 and 142,657.30 is: 196,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,516.90 : 363,651.65 = 142,657.30 : x
  2. Step 2: Convert to fraction form
    263,516.90/363,651.65 = 142,657.30/x
  3. Step 3: Cross multiply
    263,516.90x = 363,651.65 × 142,657.30
  4. Step 4: Simplify right side
    263,516.90x = 51,877,563,617.00
  5. Step 5: Solve for x
    x = 51,877,563,617.00/263,516.90
  6. Step 6: Final answer
    x = 196,866.17

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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.