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Finding the Fourth Proportional to 182,820.72, 274,192.68 and 51,462

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Solution

The fourth proportional to 182,820.72, 274,192.68 and 51,462 is: 77,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,820.72 : 274,192.68 = 51,462 : x
  2. Step 2: Convert to fraction form
    182,820.72/274,192.68 = 51,462/x
  3. Step 3: Cross multiply
    182,820.72x = 274,192.68 × 51,462
  4. Step 4: Simplify right side
    182,820.72x = 14,110,503,698.16
  5. Step 5: Solve for x
    x = 14,110,503,698.16/182,820.72
  6. Step 6: Final answer
    x = 77,182.19

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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.