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Finding the Fourth Proportional to 214,573.05, 296,100.81 and 119,078.91

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Solution

The fourth proportional to 214,573.05, 296,100.81 and 119,078.91 is: 164,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,573.05 : 296,100.81 = 119,078.91 : x
  2. Step 2: Convert to fraction form
    214,573.05/296,100.81 = 119,078.91/x
  3. Step 3: Cross multiply
    214,573.05x = 296,100.81 × 119,078.91
  4. Step 4: Simplify right side
    214,573.05x = 35,259,361,704.92
  5. Step 5: Solve for x
    x = 35,259,361,704.92/214,573.05
  6. Step 6: Final answer
    x = 164,323.35

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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.