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Finding the Fourth Proportional to 201,817.92, 278,508.76 and 116,984.20

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Solution

The fourth proportional to 201,817.92, 278,508.76 and 116,984.20 is: 161,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,817.92 : 278,508.76 = 116,984.20 : x
  2. Step 2: Convert to fraction form
    201,817.92/278,508.76 = 116,984.20/x
  3. Step 3: Cross multiply
    201,817.92x = 278,508.76 × 116,984.20
  4. Step 4: Simplify right side
    201,817.92x = 32,581,124,481.59
  5. Step 5: Solve for x
    x = 32,581,124,481.59/201,817.92
  6. Step 6: Final answer
    x = 161,438.21

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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.