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Finding the Fourth Proportional to 214,481.19, 296,019.45 and 119,018.64

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Solution

The fourth proportional to 214,481.19, 296,019.45 and 119,018.64 is: 164,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,481.19 : 296,019.45 = 119,018.64 : x
  2. Step 2: Convert to fraction form
    214,481.19/296,019.45 = 119,018.64/x
  3. Step 3: Cross multiply
    214,481.19x = 296,019.45 × 119,018.64
  4. Step 4: Simplify right side
    214,481.19x = 35,231,832,352.55
  5. Step 5: Solve for x
    x = 35,231,832,352.55/214,481.19
  6. Step 6: Final answer
    x = 164,265.37

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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.