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Finding the Fourth Proportional to 189,042.72, 282,519.66 and 178,117.44

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Solution

The fourth proportional to 189,042.72, 282,519.66 and 178,117.44 is: 266,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,042.72 : 282,519.66 = 178,117.44 : x
  2. Step 2: Convert to fraction form
    189,042.72/282,519.66 = 178,117.44/x
  3. Step 3: Cross multiply
    189,042.72x = 282,519.66 × 178,117.44
  4. Step 4: Simplify right side
    189,042.72x = 50,321,678,588.87
  5. Step 5: Solve for x
    x = 50,321,678,588.87/189,042.72
  6. Step 6: Final answer
    x = 266,192.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.