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Finding the Fourth Proportional to 119,749.49, 165,258.29 and 65,304.64

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Solution

The fourth proportional to 119,749.49, 165,258.29 and 65,304.64 is: 90,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,749.49 : 165,258.29 = 65,304.64 : x
  2. Step 2: Convert to fraction form
    119,749.49/165,258.29 = 65,304.64/x
  3. Step 3: Cross multiply
    119,749.49x = 165,258.29 × 65,304.64
  4. Step 4: Simplify right side
    119,749.49x = 10,792,133,135.47
  5. Step 5: Solve for x
    x = 10,792,133,135.47/119,749.49
  6. Step 6: Final answer
    x = 90,122.58

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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.