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Finding the Fourth Proportional to 146,448.36, 202,141.70 and 85,208.96

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Solution

The fourth proportional to 146,448.36, 202,141.70 and 85,208.96 is: 117,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,448.36 : 202,141.70 = 85,208.96 : x
  2. Step 2: Convert to fraction form
    146,448.36/202,141.70 = 85,208.96/x
  3. Step 3: Cross multiply
    146,448.36x = 202,141.70 × 85,208.96
  4. Step 4: Simplify right side
    146,448.36x = 17,224,284,029.63
  5. Step 5: Solve for x
    x = 17,224,284,029.63/146,448.36
  6. Step 6: Final answer
    x = 117,613.36

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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.