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Finding the Fourth Proportional to 201,813.38, 278,502.53 and 116,979.65

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Solution

The fourth proportional to 201,813.38, 278,502.53 and 116,979.65 is: 161,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,813.38 : 278,502.53 = 116,979.65 : x
  2. Step 2: Convert to fraction form
    201,813.38/278,502.53 = 116,979.65/x
  3. Step 3: Cross multiply
    201,813.38x = 278,502.53 × 116,979.65
  4. Step 4: Simplify right side
    201,813.38x = 32,579,126,506.10
  5. Step 5: Solve for x
    x = 32,579,126,506.10/201,813.38
  6. Step 6: Final answer
    x = 161,431.95

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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.