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Finding the Fourth Proportional to 282,098.36, 389,288.70 and 157,917.62

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Solution

The fourth proportional to 282,098.36, 389,288.70 and 157,917.62 is: 217,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,098.36 : 389,288.70 = 157,917.62 : x
  2. Step 2: Convert to fraction form
    282,098.36/389,288.70 = 157,917.62/x
  3. Step 3: Cross multiply
    282,098.36x = 389,288.70 × 157,917.62
  4. Step 4: Simplify right side
    282,098.36x = 61,475,544,996.89
  5. Step 5: Solve for x
    x = 61,475,544,996.89/282,098.36
  6. Step 6: Final answer
    x = 217,922.38

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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.