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Finding the Fourth Proportional to 171,966.18, 257,715.97 and 97,049.28

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Solution

The fourth proportional to 171,966.18, 257,715.97 and 97,049.28 is: 145,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,966.18 : 257,715.97 = 97,049.28 : x
  2. Step 2: Convert to fraction form
    171,966.18/257,715.97 = 97,049.28/x
  3. Step 3: Cross multiply
    171,966.18x = 257,715.97 × 97,049.28
  4. Step 4: Simplify right side
    171,966.18x = 25,011,149,333.00
  5. Step 5: Solve for x
    x = 25,011,149,333.00/171,966.18
  6. Step 6: Final answer
    x = 145,442.26

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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.