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Finding the Fourth Proportional to 282,548.74, 389,939.13 and 161,727.94

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Solution

The fourth proportional to 282,548.74, 389,939.13 and 161,727.94 is: 223,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,548.74 : 389,939.13 = 161,727.94 : x
  2. Step 2: Convert to fraction form
    282,548.74/389,939.13 = 161,727.94/x
  3. Step 3: Cross multiply
    282,548.74x = 389,939.13 × 161,727.94
  4. Step 4: Simplify right side
    282,548.74x = 63,064,052,220.29
  5. Step 5: Solve for x
    x = 63,064,052,220.29/282,548.74
  6. Step 6: Final answer
    x = 223,197.07

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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.