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Finding the Fourth Proportional to 205,254.93, 283,447.43 and 194,072.68

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Solution

The fourth proportional to 205,254.93, 283,447.43 and 194,072.68 is: 268,005.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,254.93 : 283,447.43 = 194,072.68 : x
  2. Step 2: Convert to fraction form
    205,254.93/283,447.43 = 194,072.68/x
  3. Step 3: Cross multiply
    205,254.93x = 283,447.43 × 194,072.68
  4. Step 4: Simplify right side
    205,254.93x = 55,009,402,379.21
  5. Step 5: Solve for x
    x = 55,009,402,379.21/205,254.93
  6. Step 6: Final answer
    x = 268,005.27

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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.