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Finding the Fourth Proportional to 343,136.05, 514,768.84 and 129,967.81

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Solution

The fourth proportional to 343,136.05, 514,768.84 and 129,967.81 is: 194,976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,136.05 : 514,768.84 = 129,967.81 : x
  2. Step 2: Convert to fraction form
    343,136.05/514,768.84 = 129,967.81/x
  3. Step 3: Cross multiply
    343,136.05x = 514,768.84 × 129,967.81
  4. Step 4: Simplify right side
    343,136.05x = 66,903,377,179.20
  5. Step 5: Solve for x
    x = 66,903,377,179.20/343,136.05
  6. Step 6: Final answer
    x = 194,976.24

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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.