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Finding the Fourth Proportional to 105,256.50, 157,895.34 and 34,176.12

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Solution

The fourth proportional to 105,256.50, 157,895.34 and 34,176.12 is: 51,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,256.50 : 157,895.34 = 34,176.12 : x
  2. Step 2: Convert to fraction form
    105,256.50/157,895.34 = 34,176.12/x
  3. Step 3: Cross multiply
    105,256.50x = 157,895.34 × 34,176.12
  4. Step 4: Simplify right side
    105,256.50x = 5,396,250,087.28
  5. Step 5: Solve for x
    x = 5,396,250,087.28/105,256.50
  6. Step 6: Final answer
    x = 51,267.62

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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.