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Finding the Fourth Proportional to 142,372.56, 196,465.69 and 78,706.56

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Solution

The fourth proportional to 142,372.56, 196,465.69 and 78,706.56 is: 108,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,372.56 : 196,465.69 = 78,706.56 : x
  2. Step 2: Convert to fraction form
    142,372.56/196,465.69 = 78,706.56/x
  3. Step 3: Cross multiply
    142,372.56x = 196,465.69 × 78,706.56
  4. Step 4: Simplify right side
    142,372.56x = 15,463,138,617.93
  5. Step 5: Solve for x
    x = 15,463,138,617.93/142,372.56
  6. Step 6: Final answer
    x = 108,610.39

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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.