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Finding the Fourth Proportional to 280,364.22, 386,911.38 and 159,522.90

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Solution

The fourth proportional to 280,364.22, 386,911.38 and 159,522.90 is: 220,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,364.22 : 386,911.38 = 159,522.90 : x
  2. Step 2: Convert to fraction form
    280,364.22/386,911.38 = 159,522.90/x
  3. Step 3: Cross multiply
    280,364.22x = 386,911.38 × 159,522.90
  4. Step 4: Simplify right side
    280,364.22x = 61,721,225,380.60
  5. Step 5: Solve for x
    x = 61,721,225,380.60/280,364.22
  6. Step 6: Final answer
    x = 220,146.58

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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.