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Finding the Fourth Proportional to 214,763.92, 296,374.44 and 119,270.80

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Solution

The fourth proportional to 214,763.92, 296,374.44 and 119,270.80 is: 164,593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,763.92 : 296,374.44 = 119,270.80 : x
  2. Step 2: Convert to fraction form
    214,763.92/296,374.44 = 119,270.80/x
  3. Step 3: Cross multiply
    214,763.92x = 296,374.44 × 119,270.80
  4. Step 4: Simplify right side
    214,763.92x = 35,348,816,558.35
  5. Step 5: Solve for x
    x = 35,348,816,558.35/214,763.92
  6. Step 6: Final answer
    x = 164,593.83

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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.