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Finding the Fourth Proportional to 165,991.71, 228,986.49 and 104,710.14

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Solution

The fourth proportional to 165,991.71, 228,986.49 and 104,710.14 is: 144,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,991.71 : 228,986.49 = 104,710.14 : x
  2. Step 2: Convert to fraction form
    165,991.71/228,986.49 = 104,710.14/x
  3. Step 3: Cross multiply
    165,991.71x = 228,986.49 × 104,710.14
  4. Step 4: Simplify right side
    165,991.71x = 23,977,207,426.01
  5. Step 5: Solve for x
    x = 23,977,207,426.01/165,991.71
  6. Step 6: Final answer
    x = 144,448.22

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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.