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Finding the Fourth Proportional to 219,044.46, 302,295.46 and 123,549.10

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Solution

The fourth proportional to 219,044.46, 302,295.46 and 123,549.10 is: 170,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,044.46 : 302,295.46 = 123,549.10 : x
  2. Step 2: Convert to fraction form
    219,044.46/302,295.46 = 123,549.10/x
  3. Step 3: Cross multiply
    219,044.46x = 302,295.46 × 123,549.10
  4. Step 4: Simplify right side
    219,044.46x = 37,348,332,017.09
  5. Step 5: Solve for x
    x = 37,348,332,017.09/219,044.46
  6. Step 6: Final answer
    x = 170,505.71

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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.