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Finding the Fourth Proportional to 163,082.28, 225,108.81 and 102,754.02

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Solution

The fourth proportional to 163,082.28, 225,108.81 and 102,754.02 is: 141,835.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,082.28 : 225,108.81 = 102,754.02 : x
  2. Step 2: Convert to fraction form
    163,082.28/225,108.81 = 102,754.02/x
  3. Step 3: Cross multiply
    163,082.28x = 225,108.81 × 102,754.02
  4. Step 4: Simplify right side
    163,082.28x = 23,130,835,164.92
  5. Step 5: Solve for x
    x = 23,130,835,164.92/163,082.28
  6. Step 6: Final answer
    x = 141,835.37

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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.