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Finding the Fourth Proportional to 147,609.44, 203,705.52 and 83,956.40

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Solution

The fourth proportional to 147,609.44, 203,705.52 and 83,956.40 is: 115,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,609.44 : 203,705.52 = 83,956.40 : x
  2. Step 2: Convert to fraction form
    147,609.44/203,705.52 = 83,956.40/x
  3. Step 3: Cross multiply
    147,609.44x = 203,705.52 × 83,956.40
  4. Step 4: Simplify right side
    147,609.44x = 17,102,382,119.33
  5. Step 5: Solve for x
    x = 17,102,382,119.33/147,609.44
  6. Step 6: Final answer
    x = 115,862.39

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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.