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Finding the Fourth Proportional to 219,542.66, 302,974.78 and 124,047.16

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Solution

The fourth proportional to 219,542.66, 302,974.78 and 124,047.16 is: 171,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,542.66 : 302,974.78 = 124,047.16 : x
  2. Step 2: Convert to fraction form
    219,542.66/302,974.78 = 124,047.16/x
  3. Step 3: Cross multiply
    219,542.66x = 302,974.78 × 124,047.16
  4. Step 4: Simplify right side
    219,542.66x = 37,583,161,010.62
  5. Step 5: Solve for x
    x = 37,583,161,010.62/219,542.66
  6. Step 6: Final answer
    x = 171,188.42

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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.