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Finding the Fourth Proportional to 149,898.40, 224,847.60 and 144,649.60

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Solution

The fourth proportional to 149,898.40, 224,847.60 and 144,649.60 is: 216,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,898.40 : 224,847.60 = 144,649.60 : x
  2. Step 2: Convert to fraction form
    149,898.40/224,847.60 = 144,649.60/x
  3. Step 3: Cross multiply
    149,898.40x = 224,847.60 × 144,649.60
  4. Step 4: Simplify right side
    149,898.40x = 32,524,115,400.96
  5. Step 5: Solve for x
    x = 32,524,115,400.96/149,898.40
  6. Step 6: Final answer
    x = 216,974.40

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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.