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Finding the Fourth Proportional to 133,821.94, 200,766.64 and 94,455.94

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Solution

The fourth proportional to 133,821.94, 200,766.64 and 94,455.94 is: 141,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,821.94 : 200,766.64 = 94,455.94 : x
  2. Step 2: Convert to fraction form
    133,821.94/200,766.64 = 94,455.94/x
  3. Step 3: Cross multiply
    133,821.94x = 200,766.64 × 94,455.94
  4. Step 4: Simplify right side
    133,821.94x = 18,963,601,701.84
  5. Step 5: Solve for x
    x = 18,963,601,701.84/133,821.94
  6. Step 6: Final answer
    x = 141,707.72

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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.