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Finding the Fourth Proportional to 150,755.32, 208,034.22 and 83,683

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Solution

The fourth proportional to 150,755.32, 208,034.22 and 83,683 is: 115,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,755.32 : 208,034.22 = 83,683 : x
  2. Step 2: Convert to fraction form
    150,755.32/208,034.22 = 83,683/x
  3. Step 3: Cross multiply
    150,755.32x = 208,034.22 × 83,683
  4. Step 4: Simplify right side
    150,755.32x = 17,408,927,632.26
  5. Step 5: Solve for x
    x = 17,408,927,632.26/150,755.32
  6. Step 6: Final answer
    x = 115,478.03

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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.