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Finding the Fourth Proportional to 227,104.83, 340,710 and 77,346.40

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Solution

The fourth proportional to 227,104.83, 340,710 and 77,346.40 is: 116,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,104.83 : 340,710 = 77,346.40 : x
  2. Step 2: Convert to fraction form
    227,104.83/340,710 = 77,346.40/x
  3. Step 3: Cross multiply
    227,104.83x = 340,710 × 77,346.40
  4. Step 4: Simplify right side
    227,104.83x = 26,352,691,092.23
  5. Step 5: Solve for x
    x = 26,352,691,092.23/227,104.83
  6. Step 6: Final answer
    x = 116,037.56

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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.