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Finding the Fourth Proportional to 273,069.86, 409,685.42 and 140,043.30

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Solution

The fourth proportional to 273,069.86, 409,685.42 and 140,043.30 is: 210,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,069.86 : 409,685.42 = 140,043.30 : x
  2. Step 2: Convert to fraction form
    273,069.86/409,685.42 = 140,043.30/x
  3. Step 3: Cross multiply
    273,069.86x = 409,685.42 × 140,043.30
  4. Step 4: Simplify right side
    273,069.86x = 57,373,697,478.47
  5. Step 5: Solve for x
    x = 57,373,697,478.47/273,069.86
  6. Step 6: Final answer
    x = 210,106.30

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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.