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Finding the Fourth Proportional to 144,574.86, 199,495.65 and 80,039.22

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Solution

The fourth proportional to 144,574.86, 199,495.65 and 80,039.22 is: 110,444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,574.86 : 199,495.65 = 80,039.22 : x
  2. Step 2: Convert to fraction form
    144,574.86/199,495.65 = 80,039.22/x
  3. Step 3: Cross multiply
    144,574.86x = 199,495.65 × 80,039.22
  4. Step 4: Simplify right side
    144,574.86x = 15,967,476,219.39
  5. Step 5: Solve for x
    x = 15,967,476,219.39/144,574.86
  6. Step 6: Final answer
    x = 110,444.35

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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.