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Finding the Fourth Proportional to 214,234.56, 295,638.66 and 123,590.70

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Solution

The fourth proportional to 214,234.56, 295,638.66 and 123,590.70 is: 170,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,234.56 : 295,638.66 = 123,590.70 : x
  2. Step 2: Convert to fraction form
    214,234.56/295,638.66 = 123,590.70/x
  3. Step 3: Cross multiply
    214,234.56x = 295,638.66 × 123,590.70
  4. Step 4: Simplify right side
    214,234.56x = 36,538,188,936.46
  5. Step 5: Solve for x
    x = 36,538,188,936.46/214,234.56
  6. Step 6: Final answer
    x = 170,552.26

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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.