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Finding the Fourth Proportional to 136,265.78, 204,398.73 and 61,298.34

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Solution

The fourth proportional to 136,265.78, 204,398.73 and 61,298.34 is: 91,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,265.78 : 204,398.73 = 61,298.34 : x
  2. Step 2: Convert to fraction form
    136,265.78/204,398.73 = 61,298.34/x
  3. Step 3: Cross multiply
    136,265.78x = 204,398.73 × 61,298.34
  4. Step 4: Simplify right side
    136,265.78x = 12,529,302,847.11
  5. Step 5: Solve for x
    x = 12,529,302,847.11/136,265.78
  6. Step 6: Final answer
    x = 91,947.54

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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.