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Finding the Fourth Proportional to 110,142.60, 165,220.16 and 31,250.64

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Solution

The fourth proportional to 110,142.60, 165,220.16 and 31,250.64 is: 46,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,142.60 : 165,220.16 = 31,250.64 : x
  2. Step 2: Convert to fraction form
    110,142.60/165,220.16 = 31,250.64/x
  3. Step 3: Cross multiply
    110,142.60x = 165,220.16 × 31,250.64
  4. Step 4: Simplify right side
    110,142.60x = 5,163,235,740.90
  5. Step 5: Solve for x
    x = 5,163,235,740.90/110,142.60
  6. Step 6: Final answer
    x = 46,877.74

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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.