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Finding the Fourth Proportional to 262,950.82, 362,871.96 and 142,092.06

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Solution

The fourth proportional to 262,950.82, 362,871.96 and 142,092.06 is: 196,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,950.82 : 362,871.96 = 142,092.06 : x
  2. Step 2: Convert to fraction form
    262,950.82/362,871.96 = 142,092.06/x
  3. Step 3: Cross multiply
    262,950.82x = 362,871.96 × 142,092.06
  4. Step 4: Simplify right side
    262,950.82x = 51,561,224,312.64
  5. Step 5: Solve for x
    x = 51,561,224,312.64/262,950.82
  6. Step 6: Final answer
    x = 196,086.95

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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.