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Finding the Fourth Proportional to 142,920.93, 214,361.53 and 100,096.63

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Solution

The fourth proportional to 142,920.93, 214,361.53 and 100,096.63 is: 150,131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,920.93 : 214,361.53 = 100,096.63 : x
  2. Step 2: Convert to fraction form
    142,920.93/214,361.53 = 100,096.63/x
  3. Step 3: Cross multiply
    142,920.93x = 214,361.53 × 100,096.63
  4. Step 4: Simplify right side
    142,920.93x = 21,456,866,754.64
  5. Step 5: Solve for x
    x = 21,456,866,754.64/142,920.93
  6. Step 6: Final answer
    x = 150,131.03

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Why These Related Problems?

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