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Finding the Fourth Proportional to 201,701.78, 278,346.20 and 111,055.90

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Solution

The fourth proportional to 201,701.78, 278,346.20 and 111,055.90 is: 153,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,701.78 : 278,346.20 = 111,055.90 : x
  2. Step 2: Convert to fraction form
    201,701.78/278,346.20 = 111,055.90/x
  3. Step 3: Cross multiply
    201,701.78x = 278,346.20 × 111,055.90
  4. Step 4: Simplify right side
    201,701.78x = 30,911,987,752.58
  5. Step 5: Solve for x
    x = 30,911,987,752.58/201,701.78
  6. Step 6: Final answer
    x = 153,255.90

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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.