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Finding the Fourth Proportional to 273,530.10, 409,967.10 and 140,341.80

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Solution

The fourth proportional to 273,530.10, 409,967.10 and 140,341.80 is: 210,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,530.10 : 409,967.10 = 140,341.80 : x
  2. Step 2: Convert to fraction form
    273,530.10/409,967.10 = 140,341.80/x
  3. Step 3: Cross multiply
    273,530.10x = 409,967.10 × 140,341.80
  4. Step 4: Simplify right side
    273,530.10x = 57,535,520,754.78
  5. Step 5: Solve for x
    x = 57,535,520,754.78/273,530.10
  6. Step 6: Final answer
    x = 210,344.39

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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.