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Finding the Fourth Proportional to 105,110.92, 157,651.50 and 30,237.40

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Solution

The fourth proportional to 105,110.92, 157,651.50 and 30,237.40 is: 45,351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,110.92 : 157,651.50 = 30,237.40 : x
  2. Step 2: Convert to fraction form
    105,110.92/157,651.50 = 30,237.40/x
  3. Step 3: Cross multiply
    105,110.92x = 157,651.50 × 30,237.40
  4. Step 4: Simplify right side
    105,110.92x = 4,766,971,466.10
  5. Step 5: Solve for x
    x = 4,766,971,466.10/105,110.92
  6. Step 6: Final answer
    x = 45,351.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.