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Finding the Fourth Proportional to 201,903.75, 278,632.94 and 112,485.51

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Solution

The fourth proportional to 201,903.75, 278,632.94 and 112,485.51 is: 155,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,903.75 : 278,632.94 = 112,485.51 : x
  2. Step 2: Convert to fraction form
    201,903.75/278,632.94 = 112,485.51/x
  3. Step 3: Cross multiply
    201,903.75x = 278,632.94 × 112,485.51
  4. Step 4: Simplify right side
    201,903.75x = 31,342,168,358.70
  5. Step 5: Solve for x
    x = 31,342,168,358.70/201,903.75
  6. Step 6: Final answer
    x = 155,233.22

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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.