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Finding the Fourth Proportional to 181,692.24, 272,195.48 and 93,002

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Solution

The fourth proportional to 181,692.24, 272,195.48 and 93,002 is: 139,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,692.24 : 272,195.48 = 93,002 : x
  2. Step 2: Convert to fraction form
    181,692.24/272,195.48 = 93,002/x
  3. Step 3: Cross multiply
    181,692.24x = 272,195.48 × 93,002
  4. Step 4: Simplify right side
    181,692.24x = 25,314,724,030.96
  5. Step 5: Solve for x
    x = 25,314,724,030.96/181,692.24
  6. Step 6: Final answer
    x = 139,327.49

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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.