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Finding the Fourth Proportional to 100,858.16, 151,243.50 and 34,280.41

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Solution

The fourth proportional to 100,858.16, 151,243.50 and 34,280.41 is: 51,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,858.16 : 151,243.50 = 34,280.41 : x
  2. Step 2: Convert to fraction form
    100,858.16/151,243.50 = 34,280.41/x
  3. Step 3: Cross multiply
    100,858.16x = 151,243.50 × 34,280.41
  4. Step 4: Simplify right side
    100,858.16x = 5,184,689,189.84
  5. Step 5: Solve for x
    x = 5,184,689,189.84/100,858.16
  6. Step 6: Final answer
    x = 51,405.75

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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.