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Finding the Fourth Proportional to 253,671.72, 350,066.10 and 146,241.24

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Solution

The fourth proportional to 253,671.72, 350,066.10 and 146,241.24 is: 201,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,671.72 : 350,066.10 = 146,241.24 : x
  2. Step 2: Convert to fraction form
    253,671.72/350,066.10 = 146,241.24/x
  3. Step 3: Cross multiply
    253,671.72x = 350,066.10 × 146,241.24
  4. Step 4: Simplify right side
    253,671.72x = 51,194,100,545.96
  5. Step 5: Solve for x
    x = 51,194,100,545.96/253,671.72
  6. Step 6: Final answer
    x = 201,812.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.