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Finding the Fourth Proportional to 151,313.38, 208,805.71 and 86,736.31

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Solution

The fourth proportional to 151,313.38, 208,805.71 and 86,736.31 is: 119,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,313.38 : 208,805.71 = 86,736.31 : x
  2. Step 2: Convert to fraction form
    151,313.38/208,805.71 = 86,736.31/x
  3. Step 3: Cross multiply
    151,313.38x = 208,805.71 × 86,736.31
  4. Step 4: Simplify right side
    151,313.38x = 18,111,035,314.62
  5. Step 5: Solve for x
    x = 18,111,035,314.62/151,313.38
  6. Step 6: Final answer
    x = 119,692.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.