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Finding the Fourth Proportional to 119,730.94, 165,224.94 and 66,017

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Solution

The fourth proportional to 119,730.94, 165,224.94 and 66,017 is: 91,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,730.94 : 165,224.94 = 66,017 : x
  2. Step 2: Convert to fraction form
    119,730.94/165,224.94 = 66,017/x
  3. Step 3: Cross multiply
    119,730.94x = 165,224.94 × 66,017
  4. Step 4: Simplify right side
    119,730.94x = 10,907,654,863.98
  5. Step 5: Solve for x
    x = 10,907,654,863.98/119,730.94
  6. Step 6: Final answer
    x = 91,101.39

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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.