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Finding the Fourth Proportional to 205,384.60, 308,307.30 and 158,843.80

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Solution

The fourth proportional to 205,384.60, 308,307.30 and 158,843.80 is: 238,443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,384.60 : 308,307.30 = 158,843.80 : x
  2. Step 2: Convert to fraction form
    205,384.60/308,307.30 = 158,843.80/x
  3. Step 3: Cross multiply
    205,384.60x = 308,307.30 × 158,843.80
  4. Step 4: Simplify right side
    205,384.60x = 48,972,703,099.74
  5. Step 5: Solve for x
    x = 48,972,703,099.74/205,384.60
  6. Step 6: Final answer
    x = 238,443.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.