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Finding the Fourth Proportional to 256,267.49, 353,662.92 and 147,370.52

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Solution

The fourth proportional to 256,267.49, 353,662.92 and 147,370.52 is: 203,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,267.49 : 353,662.92 = 147,370.52 : x
  2. Step 2: Convert to fraction form
    256,267.49/353,662.92 = 147,370.52/x
  3. Step 3: Cross multiply
    256,267.49x = 353,662.92 × 147,370.52
  4. Step 4: Simplify right side
    256,267.49x = 52,119,489,309.28
  5. Step 5: Solve for x
    x = 52,119,489,309.28/256,267.49
  6. Step 6: Final answer
    x = 203,379.25

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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.