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Finding the Fourth Proportional to 101,738.82, 151,989.36 and 65,908.46

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Solution

The fourth proportional to 101,738.82, 151,989.36 and 65,908.46 is: 98,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,738.82 : 151,989.36 = 65,908.46 : x
  2. Step 2: Convert to fraction form
    101,738.82/151,989.36 = 65,908.46/x
  3. Step 3: Cross multiply
    101,738.82x = 151,989.36 × 65,908.46
  4. Step 4: Simplify right side
    101,738.82x = 10,017,384,653.99
  5. Step 5: Solve for x
    x = 10,017,384,653.99/101,738.82
  6. Step 6: Final answer
    x = 98,461.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.