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Finding the Fourth Proportional to 205,485.66, 308,253.40 and 72,338.67

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Solution

The fourth proportional to 205,485.66, 308,253.40 and 72,338.67 is: 108,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,485.66 : 308,253.40 = 72,338.67 : x
  2. Step 2: Convert to fraction form
    205,485.66/308,253.40 = 72,338.67/x
  3. Step 3: Cross multiply
    205,485.66x = 308,253.40 × 72,338.67
  4. Step 4: Simplify right side
    205,485.66x = 22,298,640,798.13
  5. Step 5: Solve for x
    x = 22,298,640,798.13/205,485.66
  6. Step 6: Final answer
    x = 108,516.77

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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.