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Finding the Fourth Proportional to 189,194.66, 283,821.15 and 64,506.50

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Solution

The fourth proportional to 189,194.66, 283,821.15 and 64,506.50 is: 96,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,194.66 : 283,821.15 = 64,506.50 : x
  2. Step 2: Convert to fraction form
    189,194.66/283,821.15 = 64,506.50/x
  3. Step 3: Cross multiply
    189,194.66x = 283,821.15 × 64,506.50
  4. Step 4: Simplify right side
    189,194.66x = 18,308,309,012.48
  5. Step 5: Solve for x
    x = 18,308,309,012.48/189,194.66
  6. Step 6: Final answer
    x = 96,769.69

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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.