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Finding the Fourth Proportional to 220,212.80, 304,019.76 and 144,980

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Solution

The fourth proportional to 220,212.80, 304,019.76 and 144,980 is: 200,155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,212.80 : 304,019.76 = 144,980 : x
  2. Step 2: Convert to fraction form
    220,212.80/304,019.76 = 144,980/x
  3. Step 3: Cross multiply
    220,212.80x = 304,019.76 × 144,980
  4. Step 4: Simplify right side
    220,212.80x = 44,076,784,804.80
  5. Step 5: Solve for x
    x = 44,076,784,804.80/220,212.80
  6. Step 6: Final answer
    x = 200,155.42

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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.