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Finding the Fourth Proportional to 147,754.86, 203,911.63 and 82,353.86

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Solution

The fourth proportional to 147,754.86, 203,911.63 and 82,353.86 is: 113,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,754.86 : 203,911.63 = 82,353.86 : x
  2. Step 2: Convert to fraction form
    147,754.86/203,911.63 = 82,353.86/x
  3. Step 3: Cross multiply
    147,754.86x = 203,911.63 × 82,353.86
  4. Step 4: Simplify right side
    147,754.86x = 16,792,909,829.39
  5. Step 5: Solve for x
    x = 16,792,909,829.39/147,754.86
  6. Step 6: Final answer
    x = 113,653.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.