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Finding the Fourth Proportional to 273,543.70, 410,085.15 and 142,215.70

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Solution

The fourth proportional to 273,543.70, 410,085.15 and 142,215.70 is: 213,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,543.70 : 410,085.15 = 142,215.70 : x
  2. Step 2: Convert to fraction form
    273,543.70/410,085.15 = 142,215.70/x
  3. Step 3: Cross multiply
    273,543.70x = 410,085.15 × 142,215.70
  4. Step 4: Simplify right side
    273,543.70x = 58,320,546,666.86
  5. Step 5: Solve for x
    x = 58,320,546,666.86/273,543.70
  6. Step 6: Final answer
    x = 213,203.76

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1.5x scale

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.