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Finding the Fourth Proportional to 133,877.52, 200,693.19 and 57,928.64

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Solution

The fourth proportional to 133,877.52, 200,693.19 and 57,928.64 is: 86,839.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,877.52 : 200,693.19 = 57,928.64 : x
  2. Step 2: Convert to fraction form
    133,877.52/200,693.19 = 57,928.64/x
  3. Step 3: Cross multiply
    133,877.52x = 200,693.19 × 57,928.64
  4. Step 4: Simplify right side
    133,877.52x = 11,625,882,550.50
  5. Step 5: Solve for x
    x = 11,625,882,550.50/133,877.52
  6. Step 6: Final answer
    x = 86,839.69

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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.