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Finding the Fourth Proportional to 147,431.60, 203,445.48 and 82,902.32

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Solution

The fourth proportional to 147,431.60, 203,445.48 and 82,902.32 is: 114,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,431.60 : 203,445.48 = 82,902.32 : x
  2. Step 2: Convert to fraction form
    147,431.60/203,445.48 = 82,902.32/x
  3. Step 3: Cross multiply
    147,431.60x = 203,445.48 × 82,902.32
  4. Step 4: Simplify right side
    147,431.60x = 16,866,102,285.51
  5. Step 5: Solve for x
    x = 16,866,102,285.51/147,431.60
  6. Step 6: Final answer
    x = 114,399.51

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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.