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Finding the Fourth Proportional to 158,958.16, 238,384.59 and 64,163.86

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Solution

The fourth proportional to 158,958.16, 238,384.59 and 64,163.86 is: 96,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,958.16 : 238,384.59 = 64,163.86 : x
  2. Step 2: Convert to fraction form
    158,958.16/238,384.59 = 64,163.86/x
  3. Step 3: Cross multiply
    158,958.16x = 238,384.59 × 64,163.86
  4. Step 4: Simplify right side
    158,958.16x = 15,295,675,458.92
  5. Step 5: Solve for x
    x = 15,295,675,458.92/158,958.16
  6. Step 6: Final answer
    x = 96,224.54

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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.