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Finding the Fourth Proportional to 205,506.15, 283,597.30 and 114,861.95

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Solution

The fourth proportional to 205,506.15, 283,597.30 and 114,861.95 is: 158,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,506.15 : 283,597.30 = 114,861.95 : x
  2. Step 2: Convert to fraction form
    205,506.15/283,597.30 = 114,861.95/x
  3. Step 3: Cross multiply
    205,506.15x = 283,597.30 × 114,861.95
  4. Step 4: Simplify right side
    205,506.15x = 32,574,538,892.74
  5. Step 5: Solve for x
    x = 32,574,538,892.74/205,506.15
  6. Step 6: Final answer
    x = 158,508.83

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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.