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Finding the Fourth Proportional to 197,262, 295,967.52 and 118,431.18

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Solution

The fourth proportional to 197,262, 295,967.52 and 118,431.18 is: 177,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,262 : 295,967.52 = 118,431.18 : x
  2. Step 2: Convert to fraction form
    197,262/295,967.52 = 118,431.18/x
  3. Step 3: Cross multiply
    197,262x = 295,967.52 × 118,431.18
  4. Step 4: Simplify right side
    197,262x = 35,051,782,635.27
  5. Step 5: Solve for x
    x = 35,051,782,635.27/197,262
  6. Step 6: Final answer
    x = 177,691.51

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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.