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Finding the Fourth Proportional to 214,098.44, 295,458.38 and 118,607

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Solution

The fourth proportional to 214,098.44, 295,458.38 and 118,607 is: 163,679.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,098.44 : 295,458.38 = 118,607 : x
  2. Step 2: Convert to fraction form
    214,098.44/295,458.38 = 118,607/x
  3. Step 3: Cross multiply
    214,098.44x = 295,458.38 × 118,607
  4. Step 4: Simplify right side
    214,098.44x = 35,043,432,076.66
  5. Step 5: Solve for x
    x = 35,043,432,076.66/214,098.44
  6. Step 6: Final answer
    x = 163,679.06

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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.