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Finding the Fourth Proportional to 262,147.19, 361,726.09 and 147,409.88

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Solution

The fourth proportional to 262,147.19, 361,726.09 and 147,409.88 is: 203,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,147.19 : 361,726.09 = 147,409.88 : x
  2. Step 2: Convert to fraction form
    262,147.19/361,726.09 = 147,409.88/x
  3. Step 3: Cross multiply
    262,147.19x = 361,726.09 × 147,409.88
  4. Step 4: Simplify right side
    262,147.19x = 53,321,997,342.61
  5. Step 5: Solve for x
    x = 53,321,997,342.61/262,147.19
  6. Step 6: Final answer
    x = 203,404.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.