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Finding the Fourth Proportional to 155,784.32, 214,982.47 and 84,164.32

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Solution

The fourth proportional to 155,784.32, 214,982.47 and 84,164.32 is: 116,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,784.32 : 214,982.47 = 84,164.32 : x
  2. Step 2: Convert to fraction form
    155,784.32/214,982.47 = 84,164.32/x
  3. Step 3: Cross multiply
    155,784.32x = 214,982.47 × 84,164.32
  4. Step 4: Simplify right side
    155,784.32x = 18,093,853,399.47
  5. Step 5: Solve for x
    x = 18,093,853,399.47/155,784.32
  6. Step 6: Final answer
    x = 116,146.82

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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.