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Finding the Fourth Proportional to 543,136.40, 814,700.55 and 164,056.40

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Solution

The fourth proportional to 543,136.40, 814,700.55 and 164,056.40 is: 246,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,136.40 : 814,700.55 = 164,056.40 : x
  2. Step 2: Convert to fraction form
    543,136.40/814,700.55 = 164,056.40/x
  3. Step 3: Cross multiply
    543,136.40x = 814,700.55 × 164,056.40
  4. Step 4: Simplify right side
    543,136.40x = 133,656,839,311.02
  5. Step 5: Solve for x
    x = 133,656,839,311.02/543,136.40
  6. Step 6: Final answer
    x = 246,083.38

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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.