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Finding the Fourth Proportional to 205,093.50, 283,029.03 and 115,686.78

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Solution

The fourth proportional to 205,093.50, 283,029.03 and 115,686.78 is: 159,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,093.50 : 283,029.03 = 115,686.78 : x
  2. Step 2: Convert to fraction form
    205,093.50/283,029.03 = 115,686.78/x
  3. Step 3: Cross multiply
    205,093.50x = 283,029.03 × 115,686.78
  4. Step 4: Simplify right side
    205,093.50x = 32,742,717,127.22
  5. Step 5: Solve for x
    x = 32,742,717,127.22/205,093.50
  6. Step 6: Final answer
    x = 159,647.76

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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.