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Finding the Fourth Proportional to 214,794.88, 296,416.96 and 119,310.46

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Solution

The fourth proportional to 214,794.88, 296,416.96 and 119,310.46 is: 164,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,794.88 : 296,416.96 = 119,310.46 : x
  2. Step 2: Convert to fraction form
    214,794.88/296,416.96 = 119,310.46/x
  3. Step 3: Cross multiply
    214,794.88x = 296,416.96 × 119,310.46
  4. Step 4: Simplify right side
    214,794.88x = 35,365,643,849.40
  5. Step 5: Solve for x
    x = 35,365,643,849.40/214,794.88
  6. Step 6: Final answer
    x = 164,648.45

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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.