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Finding the Fourth Proportional to 274,915.56, 412,256.70 and 97,467.24

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Solution

The fourth proportional to 274,915.56, 412,256.70 and 97,467.24 is: 146,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,915.56 : 412,256.70 = 97,467.24 : x
  2. Step 2: Convert to fraction form
    274,915.56/412,256.70 = 97,467.24/x
  3. Step 3: Cross multiply
    274,915.56x = 412,256.70 × 97,467.24
  4. Step 4: Simplify right side
    274,915.56x = 40,181,522,720.51
  5. Step 5: Solve for x
    x = 40,181,522,720.51/274,915.56
  6. Step 6: Final answer
    x = 146,159.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.