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Finding the Fourth Proportional to 133,903.94, 200,889.69 and 61,822.14

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Solution

The fourth proportional to 133,903.94, 200,889.69 and 61,822.14 is: 92,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,903.94 : 200,889.69 = 61,822.14 : x
  2. Step 2: Convert to fraction form
    133,903.94/200,889.69 = 61,822.14/x
  3. Step 3: Cross multiply
    133,903.94x = 200,889.69 × 61,822.14
  4. Step 4: Simplify right side
    133,903.94x = 12,419,429,554.57
  5. Step 5: Solve for x
    x = 12,419,429,554.57/133,903.94
  6. Step 6: Final answer
    x = 92,748.80

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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.