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Finding the Fourth Proportional to 262,895.76, 362,796.30 and 142,037.01

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Solution

The fourth proportional to 262,895.76, 362,796.30 and 142,037.01 is: 196,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,895.76 : 362,796.30 = 142,037.01 : x
  2. Step 2: Convert to fraction form
    262,895.76/362,796.30 = 142,037.01/x
  3. Step 3: Cross multiply
    262,895.76x = 362,796.30 × 142,037.01
  4. Step 4: Simplify right side
    262,895.76x = 51,530,501,691.06
  5. Step 5: Solve for x
    x = 51,530,501,691.06/262,895.76
  6. Step 6: Final answer
    x = 196,011.16

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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.