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Finding the Fourth Proportional to 214,213.84, 295,600.62 and 117,416.56

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Solution

The fourth proportional to 214,213.84, 295,600.62 and 117,416.56 is: 162,026.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,213.84 : 295,600.62 = 117,416.56 : x
  2. Step 2: Convert to fraction form
    214,213.84/295,600.62 = 117,416.56/x
  3. Step 3: Cross multiply
    214,213.84x = 295,600.62 × 117,416.56
  4. Step 4: Simplify right side
    214,213.84x = 34,708,407,934.27
  5. Step 5: Solve for x
    x = 34,708,407,934.27/214,213.84
  6. Step 6: Final answer
    x = 162,026.92

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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.