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Finding the Fourth Proportional to 227,922.70, 341,884.05 and 201,678.70

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Solution

The fourth proportional to 227,922.70, 341,884.05 and 201,678.70 is: 302,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,922.70 : 341,884.05 = 201,678.70 : x
  2. Step 2: Convert to fraction form
    227,922.70/341,884.05 = 201,678.70/x
  3. Step 3: Cross multiply
    227,922.70x = 341,884.05 × 201,678.70
  4. Step 4: Simplify right side
    227,922.70x = 68,950,730,754.74
  5. Step 5: Solve for x
    x = 68,950,730,754.74/227,922.70
  6. Step 6: Final answer
    x = 302,518.05

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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.