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Finding the Fourth Proportional to 165,264, 228,664.80 and 144,087.36

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Solution

The fourth proportional to 165,264, 228,664.80 and 144,087.36 is: 199,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,264 : 228,664.80 = 144,087.36 : x
  2. Step 2: Convert to fraction form
    165,264/228,664.80 = 144,087.36/x
  3. Step 3: Cross multiply
    165,264x = 228,664.80 × 144,087.36
  4. Step 4: Simplify right side
    165,264x = 32,947,707,356.93
  5. Step 5: Solve for x
    x = 32,947,707,356.93/165,264
  6. Step 6: Final answer
    x = 199,364.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.