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Finding the Fourth Proportional to 282,960.75, 390,541.31 and 162,183.00

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Solution

The fourth proportional to 282,960.75, 390,541.31 and 162,183.00 is: 223,844.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,960.75 : 390,541.31 = 162,183.00 : x
  2. Step 2: Convert to fraction form
    282,960.75/390,541.31 = 162,183.00/x
  3. Step 3: Cross multiply
    282,960.75x = 390,541.31 × 162,183.00
  4. Step 4: Simplify right side
    282,960.75x = 63,339,158,516.11
  5. Step 5: Solve for x
    x = 63,339,158,516.11/282,960.75
  6. Step 6: Final answer
    x = 223,844.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.