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Finding the Fourth Proportional to 205,477.10, 308,203.35 and 85,503.75

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Solution

The fourth proportional to 205,477.10, 308,203.35 and 85,503.75 is: 128,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,477.10 : 308,203.35 = 85,503.75 : x
  2. Step 2: Convert to fraction form
    205,477.10/308,203.35 = 85,503.75/x
  3. Step 3: Cross multiply
    205,477.10x = 308,203.35 × 85,503.75
  4. Step 4: Simplify right side
    205,477.10x = 26,352,542,187.56
  5. Step 5: Solve for x
    x = 26,352,542,187.56/205,477.10
  6. Step 6: Final answer
    x = 128,250.51

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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.