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Finding the Fourth Proportional to 214,433.24, 295,724.24 and 133,868.24

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Solution

The fourth proportional to 214,433.24, 295,724.24 and 133,868.24 is: 184,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,433.24 : 295,724.24 = 133,868.24 : x
  2. Step 2: Convert to fraction form
    214,433.24/295,724.24 = 133,868.24/x
  3. Step 3: Cross multiply
    214,433.24x = 295,724.24 × 133,868.24
  4. Step 4: Simplify right side
    214,433.24x = 39,588,083,534.14
  5. Step 5: Solve for x
    x = 39,588,083,534.14/214,433.24
  6. Step 6: Final answer
    x = 184,617.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.