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Finding the Fourth Proportional to 263,395.67, 363,483.25 and 142,534.31

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Solution

The fourth proportional to 263,395.67, 363,483.25 and 142,534.31 is: 196,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,395.67 : 363,483.25 = 142,534.31 : x
  2. Step 2: Convert to fraction form
    263,395.67/363,483.25 = 142,534.31/x
  3. Step 3: Cross multiply
    263,395.67x = 363,483.25 × 142,534.31
  4. Step 4: Simplify right side
    263,395.67x = 51,808,834,235.31
  5. Step 5: Solve for x
    x = 51,808,834,235.31/263,395.67
  6. Step 6: Final answer
    x = 196,695.85

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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.