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Finding the Fourth Proportional to 222,403.10, 307,048.73 and 137,634.98

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Solution

The fourth proportional to 222,403.10, 307,048.73 and 137,634.98 is: 190,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,403.10 : 307,048.73 = 137,634.98 : x
  2. Step 2: Convert to fraction form
    222,403.10/307,048.73 = 137,634.98/x
  3. Step 3: Cross multiply
    222,403.10x = 307,048.73 × 137,634.98
  4. Step 4: Simplify right side
    222,403.10x = 42,260,643,589.16
  5. Step 5: Solve for x
    x = 42,260,643,589.16/222,403.10
  6. Step 6: Final answer
    x = 190,018.24

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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.