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Finding the Fourth Proportional to 201,217.40, 301,826.10 and 178,472.60

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Solution

The fourth proportional to 201,217.40, 301,826.10 and 178,472.60 is: 267,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,217.40 : 301,826.10 = 178,472.60 : x
  2. Step 2: Convert to fraction form
    201,217.40/301,826.10 = 178,472.60/x
  3. Step 3: Cross multiply
    201,217.40x = 301,826.10 × 178,472.60
  4. Step 4: Simplify right side
    201,217.40x = 53,867,688,814.86
  5. Step 5: Solve for x
    x = 53,867,688,814.86/201,217.40
  6. Step 6: Final answer
    x = 267,708.90

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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.