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Finding the Fourth Proportional to 114,041.54, 171,082.86 and 39,142.34

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Solution

The fourth proportional to 114,041.54, 171,082.86 and 39,142.34 is: 58,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,041.54 : 171,082.86 = 39,142.34 : x
  2. Step 2: Convert to fraction form
    114,041.54/171,082.86 = 39,142.34/x
  3. Step 3: Cross multiply
    114,041.54x = 171,082.86 × 39,142.34
  4. Step 4: Simplify right side
    114,041.54x = 6,696,583,474.29
  5. Step 5: Solve for x
    x = 6,696,583,474.29/114,041.54
  6. Step 6: Final answer
    x = 58,720.56

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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.