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Finding the Fourth Proportional to 98,736.20, 136,255.34 and 53,414

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Solution

The fourth proportional to 98,736.20, 136,255.34 and 53,414 is: 73,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,736.20 : 136,255.34 = 53,414 : x
  2. Step 2: Convert to fraction form
    98,736.20/136,255.34 = 53,414/x
  3. Step 3: Cross multiply
    98,736.20x = 136,255.34 × 53,414
  4. Step 4: Simplify right side
    98,736.20x = 7,277,942,730.76
  5. Step 5: Solve for x
    x = 7,277,942,730.76/98,736.20
  6. Step 6: Final answer
    x = 73,710.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.