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Finding the Fourth Proportional to 234,991.16, 324,287.98 and 127,561.16

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Solution

The fourth proportional to 234,991.16, 324,287.98 and 127,561.16 is: 176,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,991.16 : 324,287.98 = 127,561.16 : x
  2. Step 2: Convert to fraction form
    234,991.16/324,287.98 = 127,561.16/x
  3. Step 3: Cross multiply
    234,991.16x = 324,287.98 × 127,561.16
  4. Step 4: Simplify right side
    234,991.16x = 41,366,550,902.86
  5. Step 5: Solve for x
    x = 41,366,550,902.86/234,991.16
  6. Step 6: Final answer
    x = 176,034.50

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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.