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Finding the Fourth Proportional to 73,281.60, 109,922.40 and 65,408.40

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Solution

The fourth proportional to 73,281.60, 109,922.40 and 65,408.40 is: 98,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,281.60 : 109,922.40 = 65,408.40 : x
  2. Step 2: Convert to fraction form
    73,281.60/109,922.40 = 65,408.40/x
  3. Step 3: Cross multiply
    73,281.60x = 109,922.40 × 65,408.40
  4. Step 4: Simplify right side
    73,281.60x = 7,189,848,308.16
  5. Step 5: Solve for x
    x = 7,189,848,308.16/73,281.60
  6. Step 6: Final answer
    x = 98,112.60

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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.