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Finding the Fourth Proportional to 189,287.09, 283,869.20 and 62,893.40

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Solution

The fourth proportional to 189,287.09, 283,869.20 and 62,893.40 is: 94,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,287.09 : 283,869.20 = 62,893.40 : x
  2. Step 2: Convert to fraction form
    189,287.09/283,869.20 = 62,893.40/x
  3. Step 3: Cross multiply
    189,287.09x = 283,869.20 × 62,893.40
  4. Step 4: Simplify right side
    189,287.09x = 17,853,497,527.39
  5. Step 5: Solve for x
    x = 17,853,497,527.39/189,287.09
  6. Step 6: Final answer
    x = 94,319.68

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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.