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Finding the Fourth Proportional to 103,638.96, 143,015.76 and 61,182

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Solution

The fourth proportional to 103,638.96, 143,015.76 and 61,182 is: 84,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,638.96 : 143,015.76 = 61,182 : x
  2. Step 2: Convert to fraction form
    103,638.96/143,015.76 = 61,182/x
  3. Step 3: Cross multiply
    103,638.96x = 143,015.76 × 61,182
  4. Step 4: Simplify right side
    103,638.96x = 8,749,990,228.32
  5. Step 5: Solve for x
    x = 8,749,990,228.32/103,638.96
  6. Step 6: Final answer
    x = 84,427.62

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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.