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Finding the Fourth Proportional to 174,769, 262,154.46 and 43,441

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Solution

The fourth proportional to 174,769, 262,154.46 and 43,441 is: 65,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,769 : 262,154.46 = 43,441 : x
  2. Step 2: Convert to fraction form
    174,769/262,154.46 = 43,441/x
  3. Step 3: Cross multiply
    174,769x = 262,154.46 × 43,441
  4. Step 4: Simplify right side
    174,769x = 11,388,251,896.86
  5. Step 5: Solve for x
    x = 11,388,251,896.86/174,769
  6. Step 6: Final answer
    x = 65,161.74

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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.