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Finding the Fourth Proportional to 201,650.69, 278,274.72 and 111,006.95

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Solution

The fourth proportional to 201,650.69, 278,274.72 and 111,006.95 is: 153,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,650.69 : 278,274.72 = 111,006.95 : x
  2. Step 2: Convert to fraction form
    201,650.69/278,274.72 = 111,006.95/x
  3. Step 3: Cross multiply
    201,650.69x = 278,274.72 × 111,006.95
  4. Step 4: Simplify right side
    201,650.69x = 30,890,426,954.21
  5. Step 5: Solve for x
    x = 30,890,426,954.21/201,650.69
  6. Step 6: Final answer
    x = 153,187.80

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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.