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Finding the Fourth Proportional to 280,843.58, 387,536.72 and 159,975.38

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Solution

The fourth proportional to 280,843.58, 387,536.72 and 159,975.38 is: 220,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,843.58 : 387,536.72 = 159,975.38 : x
  2. Step 2: Convert to fraction form
    280,843.58/387,536.72 = 159,975.38/x
  3. Step 3: Cross multiply
    280,843.58x = 387,536.72 × 159,975.38
  4. Step 4: Simplify right side
    280,843.58x = 61,996,334,045.95
  5. Step 5: Solve for x
    x = 61,996,334,045.95/280,843.58
  6. Step 6: Final answer
    x = 220,750.41

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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.