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Finding the Fourth Proportional to 105,364.50, 157,964.58 and 71,541.33

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Solution

The fourth proportional to 105,364.50, 157,964.58 and 71,541.33 is: 107,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,364.50 : 157,964.58 = 71,541.33 : x
  2. Step 2: Convert to fraction form
    105,364.50/157,964.58 = 71,541.33/x
  3. Step 3: Cross multiply
    105,364.50x = 157,964.58 × 71,541.33
  4. Step 4: Simplify right side
    105,364.50x = 11,300,995,553.72
  5. Step 5: Solve for x
    x = 11,300,995,553.72/105,364.50
  6. Step 6: Final answer
    x = 107,256.20

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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.