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Finding the Fourth Proportional to 201,287.63, 277,775.30 and 110,642.63

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Solution

The fourth proportional to 201,287.63, 277,775.30 and 110,642.63 is: 152,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,287.63 : 277,775.30 = 110,642.63 : x
  2. Step 2: Convert to fraction form
    201,287.63/277,775.30 = 110,642.63/x
  3. Step 3: Cross multiply
    201,287.63x = 277,775.30 × 110,642.63
  4. Step 4: Simplify right side
    201,287.63x = 30,733,790,194.54
  5. Step 5: Solve for x
    x = 30,733,790,194.54/201,287.63
  6. Step 6: Final answer
    x = 152,685.93

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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.