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Finding the Fourth Proportional to 348,614.57, 523,143.07 and 148,936.47

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Solution

The fourth proportional to 348,614.57, 523,143.07 and 148,936.47 is: 223,499.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,614.57 : 523,143.07 = 148,936.47 : x
  2. Step 2: Convert to fraction form
    348,614.57/523,143.07 = 148,936.47/x
  3. Step 3: Cross multiply
    348,614.57x = 523,143.07 × 148,936.47
  4. Step 4: Simplify right side
    348,614.57x = 77,915,082,150.76
  5. Step 5: Solve for x
    x = 77,915,082,150.76/348,614.57
  6. Step 6: Final answer
    x = 223,499.21

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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.