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Finding the Fourth Proportional to 342,750.14, 514,213.94 and 200,715.42

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Solution

The fourth proportional to 342,750.14, 514,213.94 and 200,715.42 is: 301,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,750.14 : 514,213.94 = 200,715.42 : x
  2. Step 2: Convert to fraction form
    342,750.14/514,213.94 = 200,715.42/x
  3. Step 3: Cross multiply
    342,750.14x = 514,213.94 × 200,715.42
  4. Step 4: Simplify right side
    342,750.14x = 103,210,666,936.96
  5. Step 5: Solve for x
    x = 103,210,666,936.96/342,750.14
  6. Step 6: Final answer
    x = 301,125.09

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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.