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Finding the Fourth Proportional to 142,175.77, 196,179.28 and 84,024.41

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Solution

The fourth proportional to 142,175.77, 196,179.28 and 84,024.41 is: 115,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,175.77 : 196,179.28 = 84,024.41 : x
  2. Step 2: Convert to fraction form
    142,175.77/196,179.28 = 84,024.41/x
  3. Step 3: Cross multiply
    142,175.77x = 196,179.28 × 84,024.41
  4. Step 4: Simplify right side
    142,175.77x = 16,483,847,065.27
  5. Step 5: Solve for x
    x = 16,483,847,065.27/142,175.77
  6. Step 6: Final answer
    x = 115,939.92

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