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Finding the Fourth Proportional to 114,130.44, 171,102.87 and 47,620.11

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Solution

The fourth proportional to 114,130.44, 171,102.87 and 47,620.11 is: 71,391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,130.44 : 171,102.87 = 47,620.11 : x
  2. Step 2: Convert to fraction form
    114,130.44/171,102.87 = 47,620.11/x
  3. Step 3: Cross multiply
    114,130.44x = 171,102.87 × 47,620.11
  4. Step 4: Simplify right side
    114,130.44x = 8,147,937,490.72
  5. Step 5: Solve for x
    x = 8,147,937,490.72/114,130.44
  6. Step 6: Final answer
    x = 71,391.45

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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.