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Finding the Fourth Proportional to 264,214.20, 396,029.70 and 145,970.40

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Solution

The fourth proportional to 264,214.20, 396,029.70 and 145,970.40 is: 218,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,214.20 : 396,029.70 = 145,970.40 : x
  2. Step 2: Convert to fraction form
    264,214.20/396,029.70 = 145,970.40/x
  3. Step 3: Cross multiply
    264,214.20x = 396,029.70 × 145,970.40
  4. Step 4: Simplify right side
    264,214.20x = 57,808,613,720.88
  5. Step 5: Solve for x
    x = 57,808,613,720.88/264,214.20
  6. Step 6: Final answer
    x = 218,794.50

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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.