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Finding the Fourth Proportional to 205,216.83, 283,204.02 and 128,739.15

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Solution

The fourth proportional to 205,216.83, 283,204.02 and 128,739.15 is: 177,663.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,216.83 : 283,204.02 = 128,739.15 : x
  2. Step 2: Convert to fraction form
    205,216.83/283,204.02 = 128,739.15/x
  3. Step 3: Cross multiply
    205,216.83x = 283,204.02 × 128,739.15
  4. Step 4: Simplify right side
    205,216.83x = 36,459,444,811.38
  5. Step 5: Solve for x
    x = 36,459,444,811.38/205,216.83
  6. Step 6: Final answer
    x = 177,663.03

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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.