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Finding the Fourth Proportional to 177,209.76, 265,513.74 and 106,941.42

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Solution

The fourth proportional to 177,209.76, 265,513.74 and 106,941.42 is: 160,230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,209.76 : 265,513.74 = 106,941.42 : x
  2. Step 2: Convert to fraction form
    177,209.76/265,513.74 = 106,941.42/x
  3. Step 3: Cross multiply
    177,209.76x = 265,513.74 × 106,941.42
  4. Step 4: Simplify right side
    177,209.76x = 28,394,416,385.11
  5. Step 5: Solve for x
    x = 28,394,416,385.11/177,209.76
  6. Step 6: Final answer
    x = 160,230.54

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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.