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Finding the Fourth Proportional to 140,414.48, 210,634.92 and 51,669.68

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Solution

The fourth proportional to 140,414.48, 210,634.92 and 51,669.68 is: 77,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,414.48 : 210,634.92 = 51,669.68 : x
  2. Step 2: Convert to fraction form
    140,414.48/210,634.92 = 51,669.68/x
  3. Step 3: Cross multiply
    140,414.48x = 210,634.92 × 51,669.68
  4. Step 4: Simplify right side
    140,414.48x = 10,883,438,913.23
  5. Step 5: Solve for x
    x = 10,883,438,913.23/140,414.48
  6. Step 6: Final answer
    x = 77,509.38

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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.