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Finding the Fourth Proportional to 201,831, 278,535.42 and 112,407

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Solution

The fourth proportional to 201,831, 278,535.42 and 112,407 is: 155,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,831 : 278,535.42 = 112,407 : x
  2. Step 2: Convert to fraction form
    201,831/278,535.42 = 112,407/x
  3. Step 3: Cross multiply
    201,831x = 278,535.42 × 112,407
  4. Step 4: Simplify right side
    201,831x = 31,309,330,955.94
  5. Step 5: Solve for x
    x = 31,309,330,955.94/201,831
  6. Step 6: Final answer
    x = 155,126.47

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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.