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Finding the Fourth Proportional to 273,502.42, 410,238.79 and 83,962.82

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Solution

The fourth proportional to 273,502.42, 410,238.79 and 83,962.82 is: 125,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,502.42 : 410,238.79 = 83,962.82 : x
  2. Step 2: Convert to fraction form
    273,502.42/410,238.79 = 83,962.82/x
  3. Step 3: Cross multiply
    273,502.42x = 410,238.79 × 83,962.82
  4. Step 4: Simplify right side
    273,502.42x = 34,444,806,497.48
  5. Step 5: Solve for x
    x = 34,444,806,497.48/273,502.42
  6. Step 6: Final answer
    x = 125,939.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.