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Finding the Fourth Proportional to 168,065.76, 251,946.06 and 83,851.68

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Solution

The fourth proportional to 168,065.76, 251,946.06 and 83,851.68 is: 125,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,065.76 : 251,946.06 = 83,851.68 : x
  2. Step 2: Convert to fraction form
    168,065.76/251,946.06 = 83,851.68/x
  3. Step 3: Cross multiply
    168,065.76x = 251,946.06 × 83,851.68
  4. Step 4: Simplify right side
    168,065.76x = 21,126,100,400.38
  5. Step 5: Solve for x
    x = 21,126,100,400.38/168,065.76
  6. Step 6: Final answer
    x = 125,701.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.