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Finding the Fourth Proportional to 204,851.74, 282,697.90 and 118,830.64

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Solution

The fourth proportional to 204,851.74, 282,697.90 and 118,830.64 is: 163,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,851.74 : 282,697.90 = 118,830.64 : x
  2. Step 2: Convert to fraction form
    204,851.74/282,697.90 = 118,830.64/x
  3. Step 3: Cross multiply
    204,851.74x = 282,697.90 × 118,830.64
  4. Step 4: Simplify right side
    204,851.74x = 33,593,172,383.66
  5. Step 5: Solve for x
    x = 33,593,172,383.66/204,851.74
  6. Step 6: Final answer
    x = 163,987.73

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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.