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Finding the Fourth Proportional to 147,442.32, 203,452.56 and 83,762.28

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Solution

The fourth proportional to 147,442.32, 203,452.56 and 83,762.28 is: 115,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,442.32 : 203,452.56 = 83,762.28 : x
  2. Step 2: Convert to fraction form
    147,442.32/203,452.56 = 83,762.28/x
  3. Step 3: Cross multiply
    147,442.32x = 203,452.56 × 83,762.28
  4. Step 4: Simplify right side
    147,442.32x = 17,041,650,297.44
  5. Step 5: Solve for x
    x = 17,041,650,297.44/147,442.32
  6. Step 6: Final answer
    x = 115,581.81

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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.