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Finding the Fourth Proportional to 78,408.20, 108,201.88 and 42,597.84

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Solution

The fourth proportional to 78,408.20, 108,201.88 and 42,597.84 is: 58,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,408.20 : 108,201.88 = 42,597.84 : x
  2. Step 2: Convert to fraction form
    78,408.20/108,201.88 = 42,597.84/x
  3. Step 3: Cross multiply
    78,408.20x = 108,201.88 × 42,597.84
  4. Step 4: Simplify right side
    78,408.20x = 4,609,166,371.94
  5. Step 5: Solve for x
    x = 4,609,166,371.94/78,408.20
  6. Step 6: Final answer
    x = 58,784.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.