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Finding the Fourth Proportional to 110,385, 165,602.19 and 40,264.31

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Solution

The fourth proportional to 110,385, 165,602.19 and 40,264.31 is: 60,405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,385 : 165,602.19 = 40,264.31 : x
  2. Step 2: Convert to fraction form
    110,385/165,602.19 = 40,264.31/x
  3. Step 3: Cross multiply
    110,385x = 165,602.19 × 40,264.31
  4. Step 4: Simplify right side
    110,385x = 6,667,857,914.84
  5. Step 5: Solve for x
    x = 6,667,857,914.84/110,385
  6. Step 6: Final answer
    x = 60,405.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.