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Finding the Fourth Proportional to 157,295.82, 235,888.12 and 50,675.46

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Solution

The fourth proportional to 157,295.82, 235,888.12 and 50,675.46 is: 75,995.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,295.82 : 235,888.12 = 50,675.46 : x
  2. Step 2: Convert to fraction form
    157,295.82/235,888.12 = 50,675.46/x
  3. Step 3: Cross multiply
    157,295.82x = 235,888.12 × 50,675.46
  4. Step 4: Simplify right side
    157,295.82x = 11,953,738,989.54
  5. Step 5: Solve for x
    x = 11,953,738,989.54/157,295.82
  6. Step 6: Final answer
    x = 75,995.27

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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.