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Finding the Fourth Proportional to 262,326.36, 362,010.42 and 149,156.04

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Solution

The fourth proportional to 262,326.36, 362,010.42 and 149,156.04 is: 205,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,326.36 : 362,010.42 = 149,156.04 : x
  2. Step 2: Convert to fraction form
    262,326.36/362,010.42 = 149,156.04/x
  3. Step 3: Cross multiply
    262,326.36x = 362,010.42 × 149,156.04
  4. Step 4: Simplify right side
    262,326.36x = 53,996,040,685.94
  5. Step 5: Solve for x
    x = 53,996,040,685.94/262,326.36
  6. Step 6: Final answer
    x = 205,835.36

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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.