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Finding the Fourth Proportional to 833,105, 1,249,661.10 and 202,019.96

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Solution

The fourth proportional to 833,105, 1,249,661.10 and 202,019.96 is: 303,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,105 : 1,249,661.10 = 202,019.96 : x
  2. Step 2: Convert to fraction form
    833,105/1,249,661.10 = 202,019.96/x
  3. Step 3: Cross multiply
    833,105x = 1,249,661.10 × 202,019.96
  4. Step 4: Simplify right side
    833,105x = 252,456,485,435.56
  5. Step 5: Solve for x
    x = 252,456,485,435.56/833,105
  6. Step 6: Final answer
    x = 303,030.81

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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.