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Finding the Fourth Proportional to 543,173.40, 814,756.05 and 164,093.40

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Solution

The fourth proportional to 543,173.40, 814,756.05 and 164,093.40 is: 246,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,173.40 : 814,756.05 = 164,093.40 : x
  2. Step 2: Convert to fraction form
    543,173.40/814,756.05 = 164,093.40/x
  3. Step 3: Cross multiply
    543,173.40x = 814,756.05 × 164,093.40
  4. Step 4: Simplify right side
    543,173.40x = 133,696,090,415.07
  5. Step 5: Solve for x
    x = 133,696,090,415.07/543,173.40
  6. Step 6: Final answer
    x = 246,138.88

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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.