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Finding the Fourth Proportional to 273,135.40, 409,962.30 and 168,159.40

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Solution

The fourth proportional to 273,135.40, 409,962.30 and 168,159.40 is: 252,398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,135.40 : 409,962.30 = 168,159.40 : x
  2. Step 2: Convert to fraction form
    273,135.40/409,962.30 = 168,159.40/x
  3. Step 3: Cross multiply
    273,135.40x = 409,962.30 × 168,159.40
  4. Step 4: Simplify right side
    273,135.40x = 68,939,014,390.62
  5. Step 5: Solve for x
    x = 68,939,014,390.62/273,135.40
  6. Step 6: Final answer
    x = 252,398.68

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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.