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Finding the Fourth Proportional to 176,241.42, 263,859.12 and 116,959.14

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Solution

The fourth proportional to 176,241.42, 263,859.12 and 116,959.14 is: 175,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,241.42 : 263,859.12 = 116,959.14 : x
  2. Step 2: Convert to fraction form
    176,241.42/263,859.12 = 116,959.14/x
  3. Step 3: Cross multiply
    176,241.42x = 263,859.12 × 116,959.14
  4. Step 4: Simplify right side
    176,241.42x = 30,860,735,756.36
  5. Step 5: Solve for x
    x = 30,860,735,756.36/176,241.42
  6. Step 6: Final answer
    x = 175,104.90

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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.