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Finding the Fourth Proportional to 214,461.60, 295,992.54 and 118,999.05

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Solution

The fourth proportional to 214,461.60, 295,992.54 and 118,999.05 is: 164,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,461.60 : 295,992.54 = 118,999.05 : x
  2. Step 2: Convert to fraction form
    214,461.60/295,992.54 = 118,999.05/x
  3. Step 3: Cross multiply
    214,461.60x = 295,992.54 × 118,999.05
  4. Step 4: Simplify right side
    214,461.60x = 35,222,831,067.09
  5. Step 5: Solve for x
    x = 35,222,831,067.09/214,461.60
  6. Step 6: Final answer
    x = 164,238.40

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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.