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Finding the Fourth Proportional to 270,187.81, 405,289.91 and 92,692.25

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Solution

The fourth proportional to 270,187.81, 405,289.91 and 92,692.25 is: 139,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,187.81 : 405,289.91 = 92,692.25 : x
  2. Step 2: Convert to fraction form
    270,187.81/405,289.91 = 92,692.25/x
  3. Step 3: Cross multiply
    270,187.81x = 405,289.91 × 92,692.25
  4. Step 4: Simplify right side
    270,187.81x = 37,567,233,196.74
  5. Step 5: Solve for x
    x = 37,567,233,196.74/270,187.81
  6. Step 6: Final answer
    x = 139,041.19

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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.