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Finding the Fourth Proportional to 205,414.10, 308,639.55 and 130,570.10

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Solution

The fourth proportional to 205,414.10, 308,639.55 and 130,570.10 is: 196,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,414.10 : 308,639.55 = 130,570.10 : x
  2. Step 2: Convert to fraction form
    205,414.10/308,639.55 = 130,570.10/x
  3. Step 3: Cross multiply
    205,414.10x = 308,639.55 × 130,570.10
  4. Step 4: Simplify right side
    205,414.10x = 40,299,096,907.46
  5. Step 5: Solve for x
    x = 40,299,096,907.46/205,414.10
  6. Step 6: Final answer
    x = 196,184.67

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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.