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Finding the Fourth Proportional to 262,857.68, 362,734.95 and 166,113.24

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Solution

The fourth proportional to 262,857.68, 362,734.95 and 166,113.24 is: 229,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,857.68 : 362,734.95 = 166,113.24 : x
  2. Step 2: Convert to fraction form
    262,857.68/362,734.95 = 166,113.24/x
  3. Step 3: Cross multiply
    262,857.68x = 362,734.95 × 166,113.24
  4. Step 4: Simplify right side
    262,857.68x = 60,255,075,822.56
  5. Step 5: Solve for x
    x = 60,255,075,822.56/262,857.68
  6. Step 6: Final answer
    x = 229,230.80

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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.