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Finding the Fourth Proportional to 189,110.40, 283,646.40 and 64,449.60

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Solution

The fourth proportional to 189,110.40, 283,646.40 and 64,449.60 is: 96,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,110.40 : 283,646.40 = 64,449.60 : x
  2. Step 2: Convert to fraction form
    189,110.40/283,646.40 = 64,449.60/x
  3. Step 3: Cross multiply
    189,110.40x = 283,646.40 × 64,449.60
  4. Step 4: Simplify right side
    189,110.40x = 18,280,897,021.44
  5. Step 5: Solve for x
    x = 18,280,897,021.44/189,110.40
  6. Step 6: Final answer
    x = 96,667.86

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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.