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Finding the Fourth Proportional to 205,776.02, 310,206.36 and 192,059.43

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Solution

The fourth proportional to 205,776.02, 310,206.36 and 192,059.43 is: 289,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,776.02 : 310,206.36 = 192,059.43 : x
  2. Step 2: Convert to fraction form
    205,776.02/310,206.36 = 192,059.43/x
  3. Step 3: Cross multiply
    205,776.02x = 310,206.36 × 192,059.43
  4. Step 4: Simplify right side
    205,776.02x = 59,578,056,683.97
  5. Step 5: Solve for x
    x = 59,578,056,683.97/205,776.02
  6. Step 6: Final answer
    x = 289,528.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.