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Finding the Fourth Proportional to 133,909.92, 200,877.86 and 39,137.98

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Solution

The fourth proportional to 133,909.92, 200,877.86 and 39,137.98 is: 58,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,909.92 : 200,877.86 = 39,137.98 : x
  2. Step 2: Convert to fraction form
    133,909.92/200,877.86 = 39,137.98/x
  3. Step 3: Cross multiply
    133,909.92x = 200,877.86 × 39,137.98
  4. Step 4: Simplify right side
    133,909.92x = 7,861,953,667.12
  5. Step 5: Solve for x
    x = 7,861,953,667.12/133,909.92
  6. Step 6: Final answer
    x = 58,710.76

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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.