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Finding the Fourth Proportional to 142,176.77, 196,180.66 and 84,025.41

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Solution

The fourth proportional to 142,176.77, 196,180.66 and 84,025.41 is: 115,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,176.77 : 196,180.66 = 84,025.41 : x
  2. Step 2: Convert to fraction form
    142,176.77/196,180.66 = 84,025.41/x
  3. Step 3: Cross multiply
    142,176.77x = 196,180.66 × 84,025.41
  4. Step 4: Simplify right side
    142,176.77x = 16,484,160,390.57
  5. Step 5: Solve for x
    x = 16,484,160,390.57/142,176.77
  6. Step 6: Final answer
    x = 115,941.31

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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.