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Finding the Fourth Proportional to 262,421.64, 362,143.02 and 149,241.96

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Solution

The fourth proportional to 262,421.64, 362,143.02 and 149,241.96 is: 205,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,421.64 : 362,143.02 = 149,241.96 : x
  2. Step 2: Convert to fraction form
    262,421.64/362,143.02 = 149,241.96/x
  3. Step 3: Cross multiply
    262,421.64x = 362,143.02 × 149,241.96
  4. Step 4: Simplify right side
    262,421.64x = 54,046,934,105.12
  5. Step 5: Solve for x
    x = 54,046,934,105.12/262,421.64
  6. Step 6: Final answer
    x = 205,954.56

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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.