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Finding the Fourth Proportional to 203,848.83, 305,893.49 and 77,595.30

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Solution

The fourth proportional to 203,848.83, 305,893.49 and 77,595.30 is: 116,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,848.83 : 305,893.49 = 77,595.30 : x
  2. Step 2: Convert to fraction form
    203,848.83/305,893.49 = 77,595.30/x
  3. Step 3: Cross multiply
    203,848.83x = 305,893.49 × 77,595.30
  4. Step 4: Simplify right side
    203,848.83x = 23,735,896,736.62
  5. Step 5: Solve for x
    x = 23,735,896,736.62/203,848.83
  6. Step 6: Final answer
    x = 116,438.72

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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.