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Finding the Fourth Proportional to 140,010.77, 193,214.09 and 76,347.20

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Solution

The fourth proportional to 140,010.77, 193,214.09 and 76,347.20 is: 105,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,010.77 : 193,214.09 = 76,347.20 : x
  2. Step 2: Convert to fraction form
    140,010.77/193,214.09 = 76,347.20/x
  3. Step 3: Cross multiply
    140,010.77x = 193,214.09 × 76,347.20
  4. Step 4: Simplify right side
    140,010.77x = 14,751,354,390.31
  5. Step 5: Solve for x
    x = 14,751,354,390.31/140,010.77
  6. Step 6: Final answer
    x = 105,358.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.