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Finding the Fourth Proportional to 245,274, 367,790.64 and 110,379.84

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Solution

The fourth proportional to 245,274, 367,790.64 and 110,379.84 is: 165,515.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,274 : 367,790.64 = 110,379.84 : x
  2. Step 2: Convert to fraction form
    245,274/367,790.64 = 110,379.84/x
  3. Step 3: Cross multiply
    245,274x = 367,790.64 × 110,379.84
  4. Step 4: Simplify right side
    245,274x = 40,596,671,996.70
  5. Step 5: Solve for x
    x = 40,596,671,996.70/245,274
  6. Step 6: Final answer
    x = 165,515.59

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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.