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Finding the Fourth Proportional to 266,817.14, 400,363.68 and 117,162.50

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Solution

The fourth proportional to 266,817.14, 400,363.68 and 117,162.50 is: 175,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,817.14 : 400,363.68 = 117,162.50 : x
  2. Step 2: Convert to fraction form
    266,817.14/400,363.68 = 117,162.50/x
  3. Step 3: Cross multiply
    266,817.14x = 400,363.68 × 117,162.50
  4. Step 4: Simplify right side
    266,817.14x = 46,907,609,658
  5. Step 5: Solve for x
    x = 46,907,609,658/266,817.14
  6. Step 6: Final answer
    x = 175,804.33

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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.