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Finding the Fourth Proportional to 102,212.77, 153,308.37 and 27,340.47

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Solution

The fourth proportional to 102,212.77, 153,308.37 and 27,340.47 is: 41,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,212.77 : 153,308.37 = 27,340.47 : x
  2. Step 2: Convert to fraction form
    102,212.77/153,308.37 = 27,340.47/x
  3. Step 3: Cross multiply
    102,212.77x = 153,308.37 × 27,340.47
  4. Step 4: Simplify right side
    102,212.77x = 4,191,522,370.76
  5. Step 5: Solve for x
    x = 4,191,522,370.76/102,212.77
  6. Step 6: Final answer
    x = 41,007.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.