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Finding the Fourth Proportional to 214,716.60, 296,293.92 and 119,215.72

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Solution

The fourth proportional to 214,716.60, 296,293.92 and 119,215.72 is: 164,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,716.60 : 296,293.92 = 119,215.72 : x
  2. Step 2: Convert to fraction form
    214,716.60/296,293.92 = 119,215.72/x
  3. Step 3: Cross multiply
    214,716.60x = 296,293.92 × 119,215.72
  4. Step 4: Simplify right side
    214,716.60x = 35,322,893,004.42
  5. Step 5: Solve for x
    x = 35,322,893,004.42/214,716.60
  6. Step 6: Final answer
    x = 164,509.37

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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.