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Finding the Fourth Proportional to 227,128.48, 340,692.72 and 102,505.12

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Solution

The fourth proportional to 227,128.48, 340,692.72 and 102,505.12 is: 153,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,128.48 : 340,692.72 = 102,505.12 : x
  2. Step 2: Convert to fraction form
    227,128.48/340,692.72 = 102,505.12/x
  3. Step 3: Cross multiply
    227,128.48x = 340,692.72 × 102,505.12
  4. Step 4: Simplify right side
    227,128.48x = 34,922,748,146.73
  5. Step 5: Solve for x
    x = 34,922,748,146.73/227,128.48
  6. Step 6: Final answer
    x = 153,757.68

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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.