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Finding the Fourth Proportional to 110,145.84, 165,218.04 and 31,260.12

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Solution

The fourth proportional to 110,145.84, 165,218.04 and 31,260.12 is: 46,889.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,145.84 : 165,218.04 = 31,260.12 : x
  2. Step 2: Convert to fraction form
    110,145.84/165,218.04 = 31,260.12/x
  3. Step 3: Cross multiply
    110,145.84x = 165,218.04 × 31,260.12
  4. Step 4: Simplify right side
    110,145.84x = 5,164,735,756.56
  5. Step 5: Solve for x
    x = 5,164,735,756.56/110,145.84
  6. Step 6: Final answer
    x = 46,889.98

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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.