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Finding the Fourth Proportional to 196,968, 271,816.56 and 107,544

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Solution

The fourth proportional to 196,968, 271,816.56 and 107,544 is: 148,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,968 : 271,816.56 = 107,544 : x
  2. Step 2: Convert to fraction form
    196,968/271,816.56 = 107,544/x
  3. Step 3: Cross multiply
    196,968x = 271,816.56 × 107,544
  4. Step 4: Simplify right side
    196,968x = 29,232,240,128.64
  5. Step 5: Solve for x
    x = 29,232,240,128.64/196,968
  6. Step 6: Final answer
    x = 148,411.11

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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.