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Finding the Fourth Proportional to 110,508.30, 165,762.45 and 40,414.95

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Solution

The fourth proportional to 110,508.30, 165,762.45 and 40,414.95 is: 60,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,508.30 : 165,762.45 = 40,414.95 : x
  2. Step 2: Convert to fraction form
    110,508.30/165,762.45 = 40,414.95/x
  3. Step 3: Cross multiply
    110,508.30x = 165,762.45 × 40,414.95
  4. Step 4: Simplify right side
    110,508.30x = 6,699,281,128.63
  5. Step 5: Solve for x
    x = 6,699,281,128.63/110,508.30
  6. Step 6: Final answer
    x = 60,622.43

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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.