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Finding the Fourth Proportional to 144,357.53, 199,217.80 and 80,698.01

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Solution

The fourth proportional to 144,357.53, 199,217.80 and 80,698.01 is: 111,365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,357.53 : 199,217.80 = 80,698.01 : x
  2. Step 2: Convert to fraction form
    144,357.53/199,217.80 = 80,698.01/x
  3. Step 3: Cross multiply
    144,357.53x = 199,217.80 × 80,698.01
  4. Step 4: Simplify right side
    144,357.53x = 16,076,480,016.58
  5. Step 5: Solve for x
    x = 16,076,480,016.58/144,357.53
  6. Step 6: Final answer
    x = 111,365.72

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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.