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Finding the Fourth Proportional to 157,091.36, 235,653.40 and 50,448.36

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Solution

The fourth proportional to 157,091.36, 235,653.40 and 50,448.36 is: 75,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,091.36 : 235,653.40 = 50,448.36 : x
  2. Step 2: Convert to fraction form
    157,091.36/235,653.40 = 50,448.36/x
  3. Step 3: Cross multiply
    157,091.36x = 235,653.40 × 50,448.36
  4. Step 4: Simplify right side
    157,091.36x = 11,888,327,558.42
  5. Step 5: Solve for x
    x = 11,888,327,558.42/157,091.36
  6. Step 6: Final answer
    x = 75,677.79

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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.