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Finding the Fourth Proportional to 205,995.44, 284,302.50 and 148,819.74

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Solution

The fourth proportional to 205,995.44, 284,302.50 and 148,819.74 is: 205,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,995.44 : 284,302.50 = 148,819.74 : x
  2. Step 2: Convert to fraction form
    205,995.44/284,302.50 = 148,819.74/x
  3. Step 3: Cross multiply
    205,995.44x = 284,302.50 × 148,819.74
  4. Step 4: Simplify right side
    205,995.44x = 42,309,824,131.35
  5. Step 5: Solve for x
    x = 42,309,824,131.35/205,995.44
  6. Step 6: Final answer
    x = 205,392.05

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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.