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Finding the Fourth Proportional to 214,416.53, 295,887.24 and 118,932.11

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Solution

The fourth proportional to 214,416.53, 295,887.24 and 118,932.11 is: 164,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,416.53 : 295,887.24 = 118,932.11 : x
  2. Step 2: Convert to fraction form
    214,416.53/295,887.24 = 118,932.11/x
  3. Step 3: Cross multiply
    214,416.53x = 295,887.24 × 118,932.11
  4. Step 4: Simplify right side
    214,416.53x = 35,190,492,295.84
  5. Step 5: Solve for x
    x = 35,190,492,295.84/214,416.53
  6. Step 6: Final answer
    x = 164,122.11

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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.