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Finding the Fourth Proportional to 147,232.60, 203,165.73 and 82,709.08

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Solution

The fourth proportional to 147,232.60, 203,165.73 and 82,709.08 is: 114,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,232.60 : 203,165.73 = 82,709.08 : x
  2. Step 2: Convert to fraction form
    147,232.60/203,165.73 = 82,709.08/x
  3. Step 3: Cross multiply
    147,232.60x = 203,165.73 × 82,709.08
  4. Step 4: Simplify right side
    147,232.60x = 16,803,650,615.83
  5. Step 5: Solve for x
    x = 16,803,650,615.83/147,232.60
  6. Step 6: Final answer
    x = 114,129.96

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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.