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Finding the Fourth Proportional to 102,214.36, 141,016.53 and 75,420.73

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Solution

The fourth proportional to 102,214.36, 141,016.53 and 75,420.73 is: 104,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,214.36 : 141,016.53 = 75,420.73 : x
  2. Step 2: Convert to fraction form
    102,214.36/141,016.53 = 75,420.73/x
  3. Step 3: Cross multiply
    102,214.36x = 141,016.53 × 75,420.73
  4. Step 4: Simplify right side
    102,214.36x = 10,635,569,634.67
  5. Step 5: Solve for x
    x = 10,635,569,634.67/102,214.36
  6. Step 6: Final answer
    x = 104,051.62

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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.