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Finding the Fourth Proportional to 157,294.78, 217,114.23 and 107,022.94

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Solution

The fourth proportional to 157,294.78, 217,114.23 and 107,022.94 is: 147,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,294.78 : 217,114.23 = 107,022.94 : x
  2. Step 2: Convert to fraction form
    157,294.78/217,114.23 = 107,022.94/x
  3. Step 3: Cross multiply
    157,294.78x = 217,114.23 × 107,022.94
  4. Step 4: Simplify right side
    157,294.78x = 23,236,203,210.44
  5. Step 5: Solve for x
    x = 23,236,203,210.44/157,294.78
  6. Step 6: Final answer
    x = 147,723.93

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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.