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Finding the Fourth Proportional to 116,206, 174,309 and 28,654

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Solution

The fourth proportional to 116,206, 174,309 and 28,654 is: 42,981

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,206 : 174,309 = 28,654 : x
  2. Step 2: Convert to fraction form
    116,206/174,309 = 28,654/x
  3. Step 3: Cross multiply
    116,206x = 174,309 × 28,654
  4. Step 4: Simplify right side
    116,206x = 4,994,650,086
  5. Step 5: Solve for x
    x = 4,994,650,086/116,206
  6. Step 6: Final answer
    x = 42,981

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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.