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Finding the Fourth Proportional to 116,207, 174,310.50 and 28,655

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Solution

The fourth proportional to 116,207, 174,310.50 and 28,655 is: 42,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,207 : 174,310.50 = 28,655 : x
  2. Step 2: Convert to fraction form
    116,207/174,310.50 = 28,655/x
  3. Step 3: Cross multiply
    116,207x = 174,310.50 × 28,655
  4. Step 4: Simplify right side
    116,207x = 4,994,867,377.50
  5. Step 5: Solve for x
    x = 4,994,867,377.50/116,207
  6. Step 6: Final answer
    x = 42,982.50

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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.