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Finding the Fourth Proportional to 208,798.28, 313,236.24 and 94,954.16

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Solution

The fourth proportional to 208,798.28, 313,236.24 and 94,954.16 is: 142,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,798.28 : 313,236.24 = 94,954.16 : x
  2. Step 2: Convert to fraction form
    208,798.28/313,236.24 = 94,954.16/x
  3. Step 3: Cross multiply
    208,798.28x = 313,236.24 × 94,954.16
  4. Step 4: Simplify right side
    208,798.28x = 29,743,084,050.76
  5. Step 5: Solve for x
    x = 29,743,084,050.76/208,798.28
  6. Step 6: Final answer
    x = 142,448.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.