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Finding the Fourth Proportional to 214,754.70, 296,348.85 and 119,255.70

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Solution

The fourth proportional to 214,754.70, 296,348.85 and 119,255.70 is: 164,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,754.70 : 296,348.85 = 119,255.70 : x
  2. Step 2: Convert to fraction form
    214,754.70/296,348.85 = 119,255.70/x
  3. Step 3: Cross multiply
    214,754.70x = 296,348.85 × 119,255.70
  4. Step 4: Simplify right side
    214,754.70x = 35,341,289,550.95
  5. Step 5: Solve for x
    x = 35,341,289,550.95/214,754.70
  6. Step 6: Final answer
    x = 164,565.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.