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Finding the Fourth Proportional to 155,242, 214,233.96 and 84,586

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Solution

The fourth proportional to 155,242, 214,233.96 and 84,586 is: 116,728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,242 : 214,233.96 = 84,586 : x
  2. Step 2: Convert to fraction form
    155,242/214,233.96 = 84,586/x
  3. Step 3: Cross multiply
    155,242x = 214,233.96 × 84,586
  4. Step 4: Simplify right side
    155,242x = 18,121,193,740.56
  5. Step 5: Solve for x
    x = 18,121,193,740.56/155,242
  6. Step 6: Final answer
    x = 116,728.68

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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.