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Finding the Fourth Proportional to 146,447.36, 202,140.32 and 85,207.96

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Solution

The fourth proportional to 146,447.36, 202,140.32 and 85,207.96 is: 117,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,447.36 : 202,140.32 = 85,207.96 : x
  2. Step 2: Convert to fraction form
    146,447.36/202,140.32 = 85,207.96/x
  3. Step 3: Cross multiply
    146,447.36x = 202,140.32 × 85,207.96
  4. Step 4: Simplify right side
    146,447.36x = 17,223,964,300.95
  5. Step 5: Solve for x
    x = 17,223,964,300.95/146,447.36
  6. Step 6: Final answer
    x = 117,611.98

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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.