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Finding the Fourth Proportional to 105,424.20, 158,222.70 and 101,968.20

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Solution

The fourth proportional to 105,424.20, 158,222.70 and 101,968.20 is: 153,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,424.20 : 158,222.70 = 101,968.20 : x
  2. Step 2: Convert to fraction form
    105,424.20/158,222.70 = 101,968.20/x
  3. Step 3: Cross multiply
    105,424.20x = 158,222.70 × 101,968.20
  4. Step 4: Simplify right side
    105,424.20x = 16,133,683,918.14
  5. Step 5: Solve for x
    x = 16,133,683,918.14/105,424.20
  6. Step 6: Final answer
    x = 153,035.87

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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.