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Finding the Fourth Proportional to 197,292.28, 272,263.38 and 106,648

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Solution

The fourth proportional to 197,292.28, 272,263.38 and 106,648 is: 147,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,292.28 : 272,263.38 = 106,648 : x
  2. Step 2: Convert to fraction form
    197,292.28/272,263.38 = 106,648/x
  3. Step 3: Cross multiply
    197,292.28x = 272,263.38 × 106,648
  4. Step 4: Simplify right side
    197,292.28x = 29,036,344,950.24
  5. Step 5: Solve for x
    x = 29,036,344,950.24/197,292.28
  6. Step 6: Final answer
    x = 147,174.26

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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.