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Finding the Fourth Proportional to 102,096.72, 140,853.60 and 75,303

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Solution

The fourth proportional to 102,096.72, 140,853.60 and 75,303 is: 103,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,096.72 : 140,853.60 = 75,303 : x
  2. Step 2: Convert to fraction form
    102,096.72/140,853.60 = 75,303/x
  3. Step 3: Cross multiply
    102,096.72x = 140,853.60 × 75,303
  4. Step 4: Simplify right side
    102,096.72x = 10,606,698,640.80
  5. Step 5: Solve for x
    x = 10,606,698,640.80/102,096.72
  6. Step 6: Final answer
    x = 103,888.73

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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.