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Finding the Fourth Proportional to 133,817.86, 200,684.94 and 48,417.94

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Solution

The fourth proportional to 133,817.86, 200,684.94 and 48,417.94 is: 72,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,817.86 : 200,684.94 = 48,417.94 : x
  2. Step 2: Convert to fraction form
    133,817.86/200,684.94 = 48,417.94/x
  3. Step 3: Cross multiply
    133,817.86x = 200,684.94 × 48,417.94
  4. Step 4: Simplify right side
    133,817.86x = 9,716,751,383.82
  5. Step 5: Solve for x
    x = 9,716,751,383.82/133,817.86
  6. Step 6: Final answer
    x = 72,611.77

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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.