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Finding the Fourth Proportional to 202,861.30, 304,291.95 and 84,493.30

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Solution

The fourth proportional to 202,861.30, 304,291.95 and 84,493.30 is: 126,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,861.30 : 304,291.95 = 84,493.30 : x
  2. Step 2: Convert to fraction form
    202,861.30/304,291.95 = 84,493.30/x
  3. Step 3: Cross multiply
    202,861.30x = 304,291.95 × 84,493.30
  4. Step 4: Simplify right side
    202,861.30x = 25,710,631,018.94
  5. Step 5: Solve for x
    x = 25,710,631,018.94/202,861.30
  6. Step 6: Final answer
    x = 126,739.95

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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.