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Finding the Fourth Proportional to 100,896.89, 150,971.63 and 63,156.25

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Solution

The fourth proportional to 100,896.89, 150,971.63 and 63,156.25 is: 94,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,896.89 : 150,971.63 = 63,156.25 : x
  2. Step 2: Convert to fraction form
    100,896.89/150,971.63 = 63,156.25/x
  3. Step 3: Cross multiply
    100,896.89x = 150,971.63 × 63,156.25
  4. Step 4: Simplify right side
    100,896.89x = 9,534,801,252.33
  5. Step 5: Solve for x
    x = 9,534,801,252.33/100,896.89
  6. Step 6: Final answer
    x = 94,500.45

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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.