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Finding the Fourth Proportional to 262,896.76, 362,797.68 and 142,038.01

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Solution

The fourth proportional to 262,896.76, 362,797.68 and 142,038.01 is: 196,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,896.76 : 362,797.68 = 142,038.01 : x
  2. Step 2: Convert to fraction form
    262,896.76/362,797.68 = 142,038.01/x
  3. Step 3: Cross multiply
    262,896.76x = 362,797.68 × 142,038.01
  4. Step 4: Simplify right side
    262,896.76x = 51,531,060,499.82
  5. Step 5: Solve for x
    x = 51,531,060,499.82/262,896.76
  6. Step 6: Final answer
    x = 196,012.54

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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.