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Finding the Fourth Proportional to 119,628.24, 165,087.30 and 65,913.09

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Solution

The fourth proportional to 119,628.24, 165,087.30 and 65,913.09 is: 90,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,628.24 : 165,087.30 = 65,913.09 : x
  2. Step 2: Convert to fraction form
    119,628.24/165,087.30 = 65,913.09/x
  3. Step 3: Cross multiply
    119,628.24x = 165,087.30 × 65,913.09
  4. Step 4: Simplify right side
    119,628.24x = 10,881,414,062.76
  5. Step 5: Solve for x
    x = 10,881,414,062.76/119,628.24
  6. Step 6: Final answer
    x = 90,960.25

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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.