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Finding the Fourth Proportional to 142,529.94, 213,731.73 and 75,957.66

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Solution

The fourth proportional to 142,529.94, 213,731.73 and 75,957.66 is: 113,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,529.94 : 213,731.73 = 75,957.66 : x
  2. Step 2: Convert to fraction form
    142,529.94/213,731.73 = 75,957.66/x
  3. Step 3: Cross multiply
    142,529.94x = 213,731.73 × 75,957.66
  4. Step 4: Simplify right side
    142,529.94x = 16,234,562,078.55
  5. Step 5: Solve for x
    x = 16,234,562,078.55/142,529.94
  6. Step 6: Final answer
    x = 113,902.82

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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.