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Finding the Fourth Proportional to 262,409.29, 362,136.47 and 147,695.36

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Solution

The fourth proportional to 262,409.29, 362,136.47 and 147,695.36 is: 203,826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,409.29 : 362,136.47 = 147,695.36 : x
  2. Step 2: Convert to fraction form
    262,409.29/362,136.47 = 147,695.36/x
  3. Step 3: Cross multiply
    262,409.29x = 362,136.47 × 147,695.36
  4. Step 4: Simplify right side
    262,409.29x = 53,485,876,305.78
  5. Step 5: Solve for x
    x = 53,485,876,305.78/262,409.29
  6. Step 6: Final answer
    x = 203,826.15

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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.