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Finding the Fourth Proportional to 151,382.63, 208,908.03 and 84,314.63

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Solution

The fourth proportional to 151,382.63, 208,908.03 and 84,314.63 is: 116,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,382.63 : 208,908.03 = 84,314.63 : x
  2. Step 2: Convert to fraction form
    151,382.63/208,908.03 = 84,314.63/x
  3. Step 3: Cross multiply
    151,382.63x = 208,908.03 × 84,314.63
  4. Step 4: Simplify right side
    151,382.63x = 17,614,002,208.94
  5. Step 5: Solve for x
    x = 17,614,002,208.94/151,382.63
  6. Step 6: Final answer
    x = 116,354.19

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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.