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Finding the Fourth Proportional to 219,251.41, 302,541.28 and 123,752.41

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Solution

The fourth proportional to 219,251.41, 302,541.28 and 123,752.41 is: 170,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,251.41 : 302,541.28 = 123,752.41 : x
  2. Step 2: Convert to fraction form
    219,251.41/302,541.28 = 123,752.41/x
  3. Step 3: Cross multiply
    219,251.41x = 302,541.28 × 123,752.41
  4. Step 4: Simplify right side
    219,251.41x = 37,440,212,524.48
  5. Step 5: Solve for x
    x = 37,440,212,524.48/219,251.41
  6. Step 6: Final answer
    x = 170,763.84

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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.