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Finding the Fourth Proportional to 193,206.80, 289,810.20 and 137,219.60

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Solution

The fourth proportional to 193,206.80, 289,810.20 and 137,219.60 is: 205,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,206.80 : 289,810.20 = 137,219.60 : x
  2. Step 2: Convert to fraction form
    193,206.80/289,810.20 = 137,219.60/x
  3. Step 3: Cross multiply
    193,206.80x = 289,810.20 × 137,219.60
  4. Step 4: Simplify right side
    193,206.80x = 39,767,639,719.92
  5. Step 5: Solve for x
    x = 39,767,639,719.92/193,206.80
  6. Step 6: Final answer
    x = 205,829.40

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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.