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Finding the Fourth Proportional to 294,745.96, 441,746.70 and 126,065.80

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Solution

The fourth proportional to 294,745.96, 441,746.70 and 126,065.80 is: 188,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,745.96 : 441,746.70 = 126,065.80 : x
  2. Step 2: Convert to fraction form
    294,745.96/441,746.70 = 126,065.80/x
  3. Step 3: Cross multiply
    294,745.96x = 441,746.70 × 126,065.80
  4. Step 4: Simplify right side
    294,745.96x = 55,689,151,132.86
  5. Step 5: Solve for x
    x = 55,689,151,132.86/294,745.96
  6. Step 6: Final answer
    x = 188,939.49

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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.