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Finding the Fourth Proportional to 202,046.37, 278,762.16 and 117,146.49

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Solution

The fourth proportional to 202,046.37, 278,762.16 and 117,146.49 is: 161,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,046.37 : 278,762.16 = 117,146.49 : x
  2. Step 2: Convert to fraction form
    202,046.37/278,762.16 = 117,146.49/x
  3. Step 3: Cross multiply
    202,046.37x = 278,762.16 × 117,146.49
  4. Step 4: Simplify right side
    202,046.37x = 32,656,008,588.82
  5. Step 5: Solve for x
    x = 32,656,008,588.82/202,046.37
  6. Step 6: Final answer
    x = 161,626.31

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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.