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Finding the Fourth Proportional to 173,206, 259,895.10 and 97,257.28

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Solution

The fourth proportional to 173,206, 259,895.10 and 97,257.28 is: 145,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,206 : 259,895.10 = 97,257.28 : x
  2. Step 2: Convert to fraction form
    173,206/259,895.10 = 97,257.28/x
  3. Step 3: Cross multiply
    173,206x = 259,895.10 × 97,257.28
  4. Step 4: Simplify right side
    173,206x = 25,276,690,511.33
  5. Step 5: Solve for x
    x = 25,276,690,511.33/173,206
  6. Step 6: Final answer
    x = 145,934.27

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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.