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Finding the Fourth Proportional to 204,830.70, 307,246.05 and 169,838.70

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Solution

The fourth proportional to 204,830.70, 307,246.05 and 169,838.70 is: 254,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,830.70 : 307,246.05 = 169,838.70 : x
  2. Step 2: Convert to fraction form
    204,830.70/307,246.05 = 169,838.70/x
  3. Step 3: Cross multiply
    204,830.70x = 307,246.05 × 169,838.70
  4. Step 4: Simplify right side
    204,830.70x = 52,182,269,712.14
  5. Step 5: Solve for x
    x = 52,182,269,712.14/204,830.70
  6. Step 6: Final answer
    x = 254,758.05

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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.