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Finding the Fourth Proportional to 119,264.17, 164,584.92 and 65,554.69

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Solution

The fourth proportional to 119,264.17, 164,584.92 and 65,554.69 is: 90,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,264.17 : 164,584.92 = 65,554.69 : x
  2. Step 2: Convert to fraction form
    119,264.17/164,584.92 = 65,554.69/x
  3. Step 3: Cross multiply
    119,264.17x = 164,584.92 × 65,554.69
  4. Step 4: Simplify right side
    119,264.17x = 10,789,313,739.23
  5. Step 5: Solve for x
    x = 10,789,313,739.23/119,264.17
  6. Step 6: Final answer
    x = 90,465.67

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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.