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Finding the Fourth Proportional to 159,749.68, 239,673.12 and 75,574.48

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Solution

The fourth proportional to 159,749.68, 239,673.12 and 75,574.48 is: 113,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,749.68 : 239,673.12 = 75,574.48 : x
  2. Step 2: Convert to fraction form
    159,749.68/239,673.12 = 75,574.48/x
  3. Step 3: Cross multiply
    159,749.68x = 239,673.12 × 75,574.48
  4. Step 4: Simplify right side
    159,749.68x = 18,113,171,413.98
  5. Step 5: Solve for x
    x = 18,113,171,413.98/159,749.68
  6. Step 6: Final answer
    x = 113,384.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.