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Finding the Fourth Proportional to 119,993.19, 165,600.86 and 66,284.07

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Solution

The fourth proportional to 119,993.19, 165,600.86 and 66,284.07 is: 91,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,993.19 : 165,600.86 = 66,284.07 : x
  2. Step 2: Convert to fraction form
    119,993.19/165,600.86 = 66,284.07/x
  3. Step 3: Cross multiply
    119,993.19x = 165,600.86 × 66,284.07
  4. Step 4: Simplify right side
    119,993.19x = 10,976,698,664.88
  5. Step 5: Solve for x
    x = 10,976,698,664.88/119,993.19
  6. Step 6: Final answer
    x = 91,477.68

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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.