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Finding the Fourth Proportional to 214,647.50, 296,227.31 and 124,007.28

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Solution

The fourth proportional to 214,647.50, 296,227.31 and 124,007.28 is: 171,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,647.50 : 296,227.31 = 124,007.28 : x
  2. Step 2: Convert to fraction form
    214,647.50/296,227.31 = 124,007.28/x
  3. Step 3: Cross multiply
    214,647.50x = 296,227.31 × 124,007.28
  4. Step 4: Simplify right side
    214,647.50x = 36,734,342,354.78
  5. Step 5: Solve for x
    x = 36,734,342,354.78/214,647.50
  6. Step 6: Final answer
    x = 171,138.00

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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.