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Finding the Fourth Proportional to 205,052.40, 307,247.40 and 116,041.20

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Solution

The fourth proportional to 205,052.40, 307,247.40 and 116,041.20 is: 173,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,052.40 : 307,247.40 = 116,041.20 : x
  2. Step 2: Convert to fraction form
    205,052.40/307,247.40 = 116,041.20/x
  3. Step 3: Cross multiply
    205,052.40x = 307,247.40 × 116,041.20
  4. Step 4: Simplify right side
    205,052.40x = 35,653,356,992.88
  5. Step 5: Solve for x
    x = 35,653,356,992.88/205,052.40
  6. Step 6: Final answer
    x = 173,874.37

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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.