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Finding the Fourth Proportional to 178,695.36, 267,983.57 and 72,051.77

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Solution

The fourth proportional to 178,695.36, 267,983.57 and 72,051.77 is: 108,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,695.36 : 267,983.57 = 72,051.77 : x
  2. Step 2: Convert to fraction form
    178,695.36/267,983.57 = 72,051.77/x
  3. Step 3: Cross multiply
    178,695.36x = 267,983.57 × 72,051.77
  4. Step 4: Simplify right side
    178,695.36x = 19,308,691,500.83
  5. Step 5: Solve for x
    x = 19,308,691,500.83/178,695.36
  6. Step 6: Final answer
    x = 108,053.68

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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.