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Finding the Fourth Proportional to 178,704.11, 269,311.22 and 160,957.01

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Solution

The fourth proportional to 178,704.11, 269,311.22 and 160,957.01 is: 242,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,704.11 : 269,311.22 = 160,957.01 : x
  2. Step 2: Convert to fraction form
    178,704.11/269,311.22 = 160,957.01/x
  3. Step 3: Cross multiply
    178,704.11x = 269,311.22 × 160,957.01
  4. Step 4: Simplify right side
    178,704.11x = 43,347,529,806.32
  5. Step 5: Solve for x
    x = 43,347,529,806.32/178,704.11
  6. Step 6: Final answer
    x = 242,565.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.