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Finding the Fourth Proportional to 205,119.40, 307,679.10 and 111,807.40

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Solution

The fourth proportional to 205,119.40, 307,679.10 and 111,807.40 is: 167,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,119.40 : 307,679.10 = 111,807.40 : x
  2. Step 2: Convert to fraction form
    205,119.40/307,679.10 = 111,807.40/x
  3. Step 3: Cross multiply
    205,119.40x = 307,679.10 × 111,807.40
  4. Step 4: Simplify right side
    205,119.40x = 34,400,800,205.34
  5. Step 5: Solve for x
    x = 34,400,800,205.34/205,119.40
  6. Step 6: Final answer
    x = 167,711.10

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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.