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Finding the Fourth Proportional to 135,575.40, 203,420.70 and 65,418.60

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Solution

The fourth proportional to 135,575.40, 203,420.70 and 65,418.60 is: 98,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,575.40 : 203,420.70 = 65,418.60 : x
  2. Step 2: Convert to fraction form
    135,575.40/203,420.70 = 65,418.60/x
  3. Step 3: Cross multiply
    135,575.40x = 203,420.70 × 65,418.60
  4. Step 4: Simplify right side
    135,575.40x = 13,307,497,405.02
  5. Step 5: Solve for x
    x = 13,307,497,405.02/135,575.40
  6. Step 6: Final answer
    x = 98,155.69

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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.