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Finding the Fourth Proportional to 222,006.90, 306,165.06 and 145,498.14

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Solution

The fourth proportional to 222,006.90, 306,165.06 and 145,498.14 is: 200,653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,006.90 : 306,165.06 = 145,498.14 : x
  2. Step 2: Convert to fraction form
    222,006.90/306,165.06 = 145,498.14/x
  3. Step 3: Cross multiply
    222,006.90x = 306,165.06 × 145,498.14
  4. Step 4: Simplify right side
    222,006.90x = 44,546,446,762.99
  5. Step 5: Solve for x
    x = 44,546,446,762.99/222,006.90
  6. Step 6: Final answer
    x = 200,653.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.