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Finding the Fourth Proportional to 206,094, 284,409.72 and 116,670

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Solution

The fourth proportional to 206,094, 284,409.72 and 116,670 is: 161,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,094 : 284,409.72 = 116,670 : x
  2. Step 2: Convert to fraction form
    206,094/284,409.72 = 116,670/x
  3. Step 3: Cross multiply
    206,094x = 284,409.72 × 116,670
  4. Step 4: Simplify right side
    206,094x = 33,182,082,032.40
  5. Step 5: Solve for x
    x = 33,182,082,032.40/206,094
  6. Step 6: Final answer
    x = 161,004.60

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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.