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Finding the Fourth Proportional to 201,920.20, 278,648.58 and 111,276.88

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Solution

The fourth proportional to 201,920.20, 278,648.58 and 111,276.88 is: 153,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,920.20 : 278,648.58 = 111,276.88 : x
  2. Step 2: Convert to fraction form
    201,920.20/278,648.58 = 111,276.88/x
  3. Step 3: Cross multiply
    201,920.20x = 278,648.58 × 111,276.88
  4. Step 4: Simplify right side
    201,920.20x = 31,007,144,598.83
  5. Step 5: Solve for x
    x = 31,007,144,598.83/201,920.20
  6. Step 6: Final answer
    x = 153,561.38

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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.