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Finding the Fourth Proportional to 151,382.44, 208,905.06 and 84,313

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Solution

The fourth proportional to 151,382.44, 208,905.06 and 84,313 is: 116,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,382.44 : 208,905.06 = 84,313 : x
  2. Step 2: Convert to fraction form
    151,382.44/208,905.06 = 84,313/x
  3. Step 3: Cross multiply
    151,382.44x = 208,905.06 × 84,313
  4. Step 4: Simplify right side
    151,382.44x = 17,613,412,323.78
  5. Step 5: Solve for x
    x = 17,613,412,323.78/151,382.44
  6. Step 6: Final answer
    x = 116,350.43

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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.