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Finding the Fourth Proportional to 216,097.50, 298,249.11 and 126,673.50

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Solution

The fourth proportional to 216,097.50, 298,249.11 and 126,673.50 is: 174,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,097.50 : 298,249.11 = 126,673.50 : x
  2. Step 2: Convert to fraction form
    216,097.50/298,249.11 = 126,673.50/x
  3. Step 3: Cross multiply
    216,097.50x = 298,249.11 × 126,673.50
  4. Step 4: Simplify right side
    216,097.50x = 37,780,258,635.59
  5. Step 5: Solve for x
    x = 37,780,258,635.59/216,097.50
  6. Step 6: Final answer
    x = 174,829.69

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1.5x scale

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.