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Finding the Fourth Proportional to 262,210.41, 361,910.16 and 185,650.02

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Solution

The fourth proportional to 262,210.41, 361,910.16 and 185,650.02 is: 256,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,210.41 : 361,910.16 = 185,650.02 : x
  2. Step 2: Convert to fraction form
    262,210.41/361,910.16 = 185,650.02/x
  3. Step 3: Cross multiply
    262,210.41x = 361,910.16 × 185,650.02
  4. Step 4: Simplify right side
    262,210.41x = 67,188,628,442.20
  5. Step 5: Solve for x
    x = 67,188,628,442.20/262,210.41
  6. Step 6: Final answer
    x = 256,239.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.