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Finding the Fourth Proportional to 149,259.96, 205,993.62 and 111,468.60

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Solution

The fourth proportional to 149,259.96, 205,993.62 and 111,468.60 is: 153,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,259.96 : 205,993.62 = 111,468.60 : x
  2. Step 2: Convert to fraction form
    149,259.96/205,993.62 = 111,468.60/x
  3. Step 3: Cross multiply
    149,259.96x = 205,993.62 × 111,468.60
  4. Step 4: Simplify right side
    149,259.96x = 22,961,820,430.33
  5. Step 5: Solve for x
    x = 22,961,820,430.33/149,259.96
  6. Step 6: Final answer
    x = 153,837.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.