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Finding the Fourth Proportional to 273,060.57, 409,671.48 and 140,034

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Solution

The fourth proportional to 273,060.57, 409,671.48 and 140,034 is: 210,092.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,060.57 : 409,671.48 = 140,034 : x
  2. Step 2: Convert to fraction form
    273,060.57/409,671.48 = 140,034/x
  3. Step 3: Cross multiply
    273,060.57x = 409,671.48 × 140,034
  4. Step 4: Simplify right side
    273,060.57x = 57,367,936,030.32
  5. Step 5: Solve for x
    x = 57,367,936,030.32/273,060.57
  6. Step 6: Final answer
    x = 210,092.35

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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.