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Finding the Fourth Proportional to 100,220.78, 149,322.09 and 98,777.36

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Solution

The fourth proportional to 100,220.78, 149,322.09 and 98,777.36 is: 147,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,220.78 : 149,322.09 = 98,777.36 : x
  2. Step 2: Convert to fraction form
    100,220.78/149,322.09 = 98,777.36/x
  3. Step 3: Cross multiply
    100,220.78x = 149,322.09 × 98,777.36
  4. Step 4: Simplify right side
    100,220.78x = 14,749,641,093.27
  5. Step 5: Solve for x
    x = 14,749,641,093.27/100,220.78
  6. Step 6: Final answer
    x = 147,171.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.