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Finding the Fourth Proportional to 174,014, 261,021 and 75,518

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Solution

The fourth proportional to 174,014, 261,021 and 75,518 is: 113,277

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,014 : 261,021 = 75,518 : x
  2. Step 2: Convert to fraction form
    174,014/261,021 = 75,518/x
  3. Step 3: Cross multiply
    174,014x = 261,021 × 75,518
  4. Step 4: Simplify right side
    174,014x = 19,711,783,878
  5. Step 5: Solve for x
    x = 19,711,783,878/174,014
  6. Step 6: Final answer
    x = 113,277

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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.