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Finding the Fourth Proportional to 205,123.60, 308,002.20 and 111,811.60

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Solution

The fourth proportional to 205,123.60, 308,002.20 and 111,811.60 is: 167,890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,123.60 : 308,002.20 = 111,811.60 : x
  2. Step 2: Convert to fraction form
    205,123.60/308,002.20 = 111,811.60/x
  3. Step 3: Cross multiply
    205,123.60x = 308,002.20 × 111,811.60
  4. Step 4: Simplify right side
    205,123.60x = 34,438,218,785.52
  5. Step 5: Solve for x
    x = 34,438,218,785.52/205,123.60
  6. Step 6: Final answer
    x = 167,890.09

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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.