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Finding the Fourth Proportional to 165,109.64, 227,851.43 and 93,489.77

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Solution

The fourth proportional to 165,109.64, 227,851.43 and 93,489.77 is: 129,015.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,109.64 : 227,851.43 = 93,489.77 : x
  2. Step 2: Convert to fraction form
    165,109.64/227,851.43 = 93,489.77/x
  3. Step 3: Cross multiply
    165,109.64x = 227,851.43 × 93,489.77
  4. Step 4: Simplify right side
    165,109.64x = 21,301,776,178.17
  5. Step 5: Solve for x
    x = 21,301,776,178.17/165,109.64
  6. Step 6: Final answer
    x = 129,015.95

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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.