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Finding the Fourth Proportional to 192,677.34, 265,896.63 and 116,200.38

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Solution

The fourth proportional to 192,677.34, 265,896.63 and 116,200.38 is: 160,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,677.34 : 265,896.63 = 116,200.38 : x
  2. Step 2: Convert to fraction form
    192,677.34/265,896.63 = 116,200.38/x
  3. Step 3: Cross multiply
    192,677.34x = 265,896.63 × 116,200.38
  4. Step 4: Simplify right side
    192,677.34x = 30,897,289,446.72
  5. Step 5: Solve for x
    x = 30,897,289,446.72/192,677.34
  6. Step 6: Final answer
    x = 160,357.67

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1.5x scale

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.