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Finding the Fourth Proportional to 199,502.85, 275,313.95 and 127,883.01

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Solution

The fourth proportional to 199,502.85, 275,313.95 and 127,883.01 is: 176,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,502.85 : 275,313.95 = 127,883.01 : x
  2. Step 2: Convert to fraction form
    199,502.85/275,313.95 = 127,883.01/x
  3. Step 3: Cross multiply
    199,502.85x = 275,313.95 × 127,883.01
  4. Step 4: Simplify right side
    199,502.85x = 35,207,976,620.99
  5. Step 5: Solve for x
    x = 35,207,976,620.99/199,502.85
  6. Step 6: Final answer
    x = 176,478.56

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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.