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Finding the Fourth Proportional to 301,144.10, 415,577.72 and 186,399.89

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Solution

The fourth proportional to 301,144.10, 415,577.72 and 186,399.89 is: 257,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,144.10 : 415,577.72 = 186,399.89 : x
  2. Step 2: Convert to fraction form
    301,144.10/415,577.72 = 186,399.89/x
  3. Step 3: Cross multiply
    301,144.10x = 415,577.72 × 186,399.89
  4. Step 4: Simplify right side
    301,144.10x = 77,463,639,682.56
  5. Step 5: Solve for x
    x = 77,463,639,682.56/301,144.10
  6. Step 6: Final answer
    x = 257,231.14

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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.