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Finding the Fourth Proportional to 110,298.40, 165,447.60 and 31,415.20

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Solution

The fourth proportional to 110,298.40, 165,447.60 and 31,415.20 is: 47,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,298.40 : 165,447.60 = 31,415.20 : x
  2. Step 2: Convert to fraction form
    110,298.40/165,447.60 = 31,415.20/x
  3. Step 3: Cross multiply
    110,298.40x = 165,447.60 × 31,415.20
  4. Step 4: Simplify right side
    110,298.40x = 5,197,569,443.52
  5. Step 5: Solve for x
    x = 5,197,569,443.52/110,298.40
  6. Step 6: Final answer
    x = 47,122.80

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Why These Related Problems?

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