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Finding the Fourth Proportional to 182,778.37, 252,232.72 and 102,206.05

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Solution

The fourth proportional to 182,778.37, 252,232.72 and 102,206.05 is: 141,043.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,778.37 : 252,232.72 = 102,206.05 : x
  2. Step 2: Convert to fraction form
    182,778.37/252,232.72 = 102,206.05/x
  3. Step 3: Cross multiply
    182,778.37x = 252,232.72 × 102,206.05
  4. Step 4: Simplify right side
    182,778.37x = 25,779,709,991.96
  5. Step 5: Solve for x
    x = 25,779,709,991.96/182,778.37
  6. Step 6: Final answer
    x = 141,043.55

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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.