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Finding the Fourth Proportional to 220,180.80, 303,975.60 and 144,948

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Solution

The fourth proportional to 220,180.80, 303,975.60 and 144,948 is: 200,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,180.80 : 303,975.60 = 144,948 : x
  2. Step 2: Convert to fraction form
    220,180.80/303,975.60 = 144,948/x
  3. Step 3: Cross multiply
    220,180.80x = 303,975.60 × 144,948
  4. Step 4: Simplify right side
    220,180.80x = 44,060,655,268.80
  5. Step 5: Solve for x
    x = 44,060,655,268.80/220,180.80
  6. Step 6: Final answer
    x = 200,111.25

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