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Finding the Fourth Proportional to 208,235.40, 312,313.69 and 101,512.23

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Solution

The fourth proportional to 208,235.40, 312,313.69 and 101,512.23 is: 152,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,235.40 : 312,313.69 = 101,512.23 : x
  2. Step 2: Convert to fraction form
    208,235.40/312,313.69 = 101,512.23/x
  3. Step 3: Cross multiply
    208,235.40x = 312,313.69 × 101,512.23
  4. Step 4: Simplify right side
    208,235.40x = 31,703,659,131.43
  5. Step 5: Solve for x
    x = 31,703,659,131.43/208,235.40
  6. Step 6: Final answer
    x = 152,249.13

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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.