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Finding the Fourth Proportional to 214,383.69, 295,828.14 and 123,768.90

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Solution

The fourth proportional to 214,383.69, 295,828.14 and 123,768.90 is: 170,788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,383.69 : 295,828.14 = 123,768.90 : x
  2. Step 2: Convert to fraction form
    214,383.69/295,828.14 = 123,768.90/x
  3. Step 3: Cross multiply
    214,383.69x = 295,828.14 × 123,768.90
  4. Step 4: Simplify right side
    214,383.69x = 36,614,323,476.85
  5. Step 5: Solve for x
    x = 36,614,323,476.85/214,383.69
  6. Step 6: Final answer
    x = 170,788.75

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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.