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Finding the Fourth Proportional to 197,010.72, 295,503.92 and 78,596.82

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Solution

The fourth proportional to 197,010.72, 295,503.92 and 78,596.82 is: 117,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,010.72 : 295,503.92 = 78,596.82 : x
  2. Step 2: Convert to fraction form
    197,010.72/295,503.92 = 78,596.82/x
  3. Step 3: Cross multiply
    197,010.72x = 295,503.92 × 78,596.82
  4. Step 4: Simplify right side
    197,010.72x = 23,225,668,409.53
  5. Step 5: Solve for x
    x = 23,225,668,409.53/197,010.72
  6. Step 6: Final answer
    x = 117,890.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.