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Finding the Fourth Proportional to 201,852.75, 278,556.80 and 112,428.75

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Solution

The fourth proportional to 201,852.75, 278,556.80 and 112,428.75 is: 155,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,852.75 : 278,556.80 = 112,428.75 : x
  2. Step 2: Convert to fraction form
    201,852.75/278,556.80 = 112,428.75/x
  3. Step 3: Cross multiply
    201,852.75x = 278,556.80 × 112,428.75
  4. Step 4: Simplify right side
    201,852.75x = 31,317,792,828
  5. Step 5: Solve for x
    x = 31,317,792,828/201,852.75
  6. Step 6: Final answer
    x = 155,151.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.