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Finding the Fourth Proportional to 206,853.06, 285,437.06 and 116,188.50

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Solution

The fourth proportional to 206,853.06, 285,437.06 and 116,188.50 is: 160,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,853.06 : 285,437.06 = 116,188.50 : x
  2. Step 2: Convert to fraction form
    206,853.06/285,437.06 = 116,188.50/x
  3. Step 3: Cross multiply
    206,853.06x = 285,437.06 × 116,188.50
  4. Step 4: Simplify right side
    206,853.06x = 33,164,503,845.81
  5. Step 5: Solve for x
    x = 33,164,503,845.81/206,853.06
  6. Step 6: Final answer
    x = 160,328.80

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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.