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Finding the Fourth Proportional to 263,384.71, 363,471.87 and 142,525.99

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Solution

The fourth proportional to 263,384.71, 363,471.87 and 142,525.99 is: 196,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,384.71 : 363,471.87 = 142,525.99 : x
  2. Step 2: Convert to fraction form
    263,384.71/363,471.87 = 142,525.99/x
  3. Step 3: Cross multiply
    263,384.71x = 363,471.87 × 142,525.99
  4. Step 4: Simplify right side
    263,384.71x = 51,804,188,108.90
  5. Step 5: Solve for x
    x = 51,804,188,108.90/263,384.71
  6. Step 6: Final answer
    x = 196,686.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.