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Finding the Fourth Proportional to 191,465.54, 287,198.17 and 86,161.49

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Solution

The fourth proportional to 191,465.54, 287,198.17 and 86,161.49 is: 129,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,465.54 : 287,198.17 = 86,161.49 : x
  2. Step 2: Convert to fraction form
    191,465.54/287,198.17 = 86,161.49/x
  3. Step 3: Cross multiply
    191,465.54x = 287,198.17 × 86,161.49
  4. Step 4: Simplify right side
    191,465.54x = 24,745,420,385.68
  5. Step 5: Solve for x
    x = 24,745,420,385.68/191,465.54
  6. Step 6: Final answer
    x = 129,242.17

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1.5x scale

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.