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Finding the Fourth Proportional to 214,447, 295,937.10 and 125,040.28

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Solution

The fourth proportional to 214,447, 295,937.10 and 125,040.28 is: 172,555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,447 : 295,937.10 = 125,040.28 : x
  2. Step 2: Convert to fraction form
    214,447/295,937.10 = 125,040.28/x
  3. Step 3: Cross multiply
    214,447x = 295,937.10 × 125,040.28
  4. Step 4: Simplify right side
    214,447x = 37,004,057,846.39
  5. Step 5: Solve for x
    x = 37,004,057,846.39/214,447
  6. Step 6: Final answer
    x = 172,555.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.