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Finding the Fourth Proportional to 114,133.87, 171,108.01 and 47,623.56

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Solution

The fourth proportional to 114,133.87, 171,108.01 and 47,623.56 is: 71,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,133.87 : 171,108.01 = 47,623.56 : x
  2. Step 2: Convert to fraction form
    114,133.87/171,108.01 = 47,623.56/x
  3. Step 3: Cross multiply
    114,133.87x = 171,108.01 × 47,623.56
  4. Step 4: Simplify right side
    114,133.87x = 8,148,772,580.72
  5. Step 5: Solve for x
    x = 8,148,772,580.72/114,133.87
  6. Step 6: Final answer
    x = 71,396.62

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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.