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Finding the Fourth Proportional to 201,806.92, 278,493.58 and 116,973.20

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Solution

The fourth proportional to 201,806.92, 278,493.58 and 116,973.20 is: 161,423.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,806.92 : 278,493.58 = 116,973.20 : x
  2. Step 2: Convert to fraction form
    201,806.92/278,493.58 = 116,973.20/x
  3. Step 3: Cross multiply
    201,806.92x = 278,493.58 × 116,973.20
  4. Step 4: Simplify right side
    201,806.92x = 32,576,285,232.06
  5. Step 5: Solve for x
    x = 32,576,285,232.06/201,806.92
  6. Step 6: Final answer
    x = 161,423.03

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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.