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Finding the Fourth Proportional to 214,433, 295,917.78 and 125,026.28

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Solution

The fourth proportional to 214,433, 295,917.78 and 125,026.28 is: 172,536.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,433 : 295,917.78 = 125,026.28 : x
  2. Step 2: Convert to fraction form
    214,433/295,917.78 = 125,026.28/x
  3. Step 3: Cross multiply
    214,433x = 295,917.78 × 125,026.28
  4. Step 4: Simplify right side
    214,433x = 36,997,499,219.26
  5. Step 5: Solve for x
    x = 36,997,499,219.26/214,433
  6. Step 6: Final answer
    x = 172,536.41

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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.