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Finding the Fourth Proportional to 280,536.42, 387,142.73 and 159,685.49

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Solution

The fourth proportional to 280,536.42, 387,142.73 and 159,685.49 is: 220,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,536.42 : 387,142.73 = 159,685.49 : x
  2. Step 2: Convert to fraction form
    280,536.42/387,142.73 = 159,685.49/x
  3. Step 3: Cross multiply
    280,536.42x = 387,142.73 × 159,685.49
  4. Step 4: Simplify right side
    280,536.42x = 61,821,076,539.99
  5. Step 5: Solve for x
    x = 61,821,076,539.99/280,536.42
  6. Step 6: Final answer
    x = 220,367.38

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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.