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Finding the Fourth Proportional to 280,890.82, 387,629.30 and 153,566.38

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Solution

The fourth proportional to 280,890.82, 387,629.30 and 153,566.38 is: 211,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,890.82 : 387,629.30 = 153,566.38 : x
  2. Step 2: Convert to fraction form
    280,890.82/387,629.30 = 153,566.38/x
  3. Step 3: Cross multiply
    280,890.82x = 387,629.30 × 153,566.38
  4. Step 4: Simplify right side
    280,890.82x = 59,526,825,676.96
  5. Step 5: Solve for x
    x = 59,526,825,676.96/280,890.82
  6. Step 6: Final answer
    x = 211,921.58

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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.