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Finding the Fourth Proportional to 205,461.73, 283,536.36 and 114,817.67

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Solution

The fourth proportional to 205,461.73, 283,536.36 and 114,817.67 is: 158,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,461.73 : 283,536.36 = 114,817.67 : x
  2. Step 2: Convert to fraction form
    205,461.73/283,536.36 = 114,817.67/x
  3. Step 3: Cross multiply
    205,461.73x = 283,536.36 × 114,817.67
  4. Step 4: Simplify right side
    205,461.73x = 32,554,983,894.03
  5. Step 5: Solve for x
    x = 32,554,983,894.03/205,461.73
  6. Step 6: Final answer
    x = 158,447.92

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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.