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Finding the Fourth Proportional to 203,210.30, 305,012.19 and 98,103.02

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Solution

The fourth proportional to 203,210.30, 305,012.19 and 98,103.02 is: 147,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,210.30 : 305,012.19 = 98,103.02 : x
  2. Step 2: Convert to fraction form
    203,210.30/305,012.19 = 98,103.02/x
  3. Step 3: Cross multiply
    203,210.30x = 305,012.19 × 98,103.02
  4. Step 4: Simplify right side
    203,210.30x = 29,922,616,975.81
  5. Step 5: Solve for x
    x = 29,922,616,975.81/203,210.30
  6. Step 6: Final answer
    x = 147,249.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.