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Finding the Fourth Proportional to 400,203.15, 600,083.19 and 163,711.95

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Solution

The fourth proportional to 400,203.15, 600,083.19 and 163,711.95 is: 245,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,203.15 : 600,083.19 = 163,711.95 : x
  2. Step 2: Convert to fraction form
    400,203.15/600,083.19 = 163,711.95/x
  3. Step 3: Cross multiply
    400,203.15x = 600,083.19 × 163,711.95
  4. Step 4: Simplify right side
    400,203.15x = 98,240,789,197.12
  5. Step 5: Solve for x
    x = 98,240,789,197.12/400,203.15
  6. Step 6: Final answer
    x = 245,477.30

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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.