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Finding the Fourth Proportional to 105,225, 157,915.42 and 49,821.16

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Solution

The fourth proportional to 105,225, 157,915.42 and 49,821.16 is: 74,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,225 : 157,915.42 = 49,821.16 : x
  2. Step 2: Convert to fraction form
    105,225/157,915.42 = 49,821.16/x
  3. Step 3: Cross multiply
    105,225x = 157,915.42 × 49,821.16
  4. Step 4: Simplify right side
    105,225x = 7,867,529,406.29
  5. Step 5: Solve for x
    x = 7,867,529,406.29/105,225
  6. Step 6: Final answer
    x = 74,768.63

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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.