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Finding the Fourth Proportional to 119,876.94, 165,430.02 and 66,162

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Solution

The fourth proportional to 119,876.94, 165,430.02 and 66,162 is: 91,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,876.94 : 165,430.02 = 66,162 : x
  2. Step 2: Convert to fraction form
    119,876.94/165,430.02 = 66,162/x
  3. Step 3: Cross multiply
    119,876.94x = 165,430.02 × 66,162
  4. Step 4: Simplify right side
    119,876.94x = 10,945,180,983.24
  5. Step 5: Solve for x
    x = 10,945,180,983.24/119,876.94
  6. Step 6: Final answer
    x = 91,303.47

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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.