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Finding the Fourth Proportional to 643,363.27, 965,051.83 and 194,088.03

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Solution

The fourth proportional to 643,363.27, 965,051.83 and 194,088.03 is: 291,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,363.27 : 965,051.83 = 194,088.03 : x
  2. Step 2: Convert to fraction form
    643,363.27/965,051.83 = 194,088.03/x
  3. Step 3: Cross multiply
    643,363.27x = 965,051.83 × 194,088.03
  4. Step 4: Simplify right side
    643,363.27x = 187,305,008,532.60
  5. Step 5: Solve for x
    x = 187,305,008,532.60/643,363.27
  6. Step 6: Final answer
    x = 291,134.14

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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.