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Finding the Fourth Proportional to 242,464.77, 334,576.22 and 149,315.69

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Solution

The fourth proportional to 242,464.77, 334,576.22 and 149,315.69 is: 206,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,464.77 : 334,576.22 = 149,315.69 : x
  2. Step 2: Convert to fraction form
    242,464.77/334,576.22 = 149,315.69/x
  3. Step 3: Cross multiply
    242,464.77x = 334,576.22 × 149,315.69
  4. Step 4: Simplify right side
    242,464.77x = 49,957,479,236.75
  5. Step 5: Solve for x
    x = 49,957,479,236.75/242,464.77
  6. Step 6: Final answer
    x = 206,040.16

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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.