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Finding the Fourth Proportional to 201,896.25, 278,622.59 and 112,478.01

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Solution

The fourth proportional to 201,896.25, 278,622.59 and 112,478.01 is: 155,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,896.25 : 278,622.59 = 112,478.01 : x
  2. Step 2: Convert to fraction form
    201,896.25/278,622.59 = 112,478.01/x
  3. Step 3: Cross multiply
    201,896.25x = 278,622.59 × 112,478.01
  4. Step 4: Simplify right side
    201,896.25x = 31,338,914,464.25
  5. Step 5: Solve for x
    x = 31,338,914,464.25/201,896.25
  6. Step 6: Final answer
    x = 155,222.87

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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.