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Finding the Fourth Proportional to 227,773.90, 341,806.65 and 133,003.90

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Solution

The fourth proportional to 227,773.90, 341,806.65 and 133,003.90 is: 199,590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,773.90 : 341,806.65 = 133,003.90 : x
  2. Step 2: Convert to fraction form
    227,773.90/341,806.65 = 133,003.90/x
  3. Step 3: Cross multiply
    227,773.90x = 341,806.65 × 133,003.90
  4. Step 4: Simplify right side
    227,773.90x = 45,461,617,495.94
  5. Step 5: Solve for x
    x = 45,461,617,495.94/227,773.90
  6. Step 6: Final answer
    x = 199,590.99

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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.