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Finding the Fourth Proportional to 161,807.22, 242,769.15 and 82,958.58

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Solution

The fourth proportional to 161,807.22, 242,769.15 and 82,958.58 is: 124,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,807.22 : 242,769.15 = 82,958.58 : x
  2. Step 2: Convert to fraction form
    161,807.22/242,769.15 = 82,958.58/x
  3. Step 3: Cross multiply
    161,807.22x = 242,769.15 × 82,958.58
  4. Step 4: Simplify right side
    161,807.22x = 20,139,783,951.81
  5. Step 5: Solve for x
    x = 20,139,783,951.81/161,807.22
  6. Step 6: Final answer
    x = 124,467.77

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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.