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Finding the Fourth Proportional to 256,543.20, 384,814.80 and 106,733.70

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Solution

The fourth proportional to 256,543.20, 384,814.80 and 106,733.70 is: 160,100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,543.20 : 384,814.80 = 106,733.70 : x
  2. Step 2: Convert to fraction form
    256,543.20/384,814.80 = 106,733.70/x
  3. Step 3: Cross multiply
    256,543.20x = 384,814.80 × 106,733.70
  4. Step 4: Simplify right side
    256,543.20x = 41,072,707,418.76
  5. Step 5: Solve for x
    x = 41,072,707,418.76/256,543.20
  6. Step 6: Final answer
    x = 160,100.55

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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.