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Finding the Fourth Proportional to 119,027.85, 164,258.17 and 65,313.51

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Solution

The fourth proportional to 119,027.85, 164,258.17 and 65,313.51 is: 90,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,027.85 : 164,258.17 = 65,313.51 : x
  2. Step 2: Convert to fraction form
    119,027.85/164,258.17 = 65,313.51/x
  3. Step 3: Cross multiply
    119,027.85x = 164,258.17 × 65,313.51
  4. Step 4: Simplify right side
    119,027.85x = 10,728,277,628.88
  5. Step 5: Solve for x
    x = 10,728,277,628.88/119,027.85
  6. Step 6: Final answer
    x = 90,132.50

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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.