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Finding the Fourth Proportional to 105,662.67, 145,819 and 63,213

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Solution

The fourth proportional to 105,662.67, 145,819 and 63,213 is: 87,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,662.67 : 145,819 = 63,213 : x
  2. Step 2: Convert to fraction form
    105,662.67/145,819 = 63,213/x
  3. Step 3: Cross multiply
    105,662.67x = 145,819 × 63,213
  4. Step 4: Simplify right side
    105,662.67x = 9,217,656,447
  5. Step 5: Solve for x
    x = 9,217,656,447/105,662.67
  6. Step 6: Final answer
    x = 87,236.64

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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.