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Finding the Fourth Proportional to 311,077.80, 466,703.10 and 133,669.80

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Solution

The fourth proportional to 311,077.80, 466,703.10 and 133,669.80 is: 200,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,077.80 : 466,703.10 = 133,669.80 : x
  2. Step 2: Convert to fraction form
    311,077.80/466,703.10 = 133,669.80/x
  3. Step 3: Cross multiply
    311,077.80x = 466,703.10 × 133,669.80
  4. Step 4: Simplify right side
    311,077.80x = 62,384,110,036.38
  5. Step 5: Solve for x
    x = 62,384,110,036.38/311,077.80
  6. Step 6: Final answer
    x = 200,541.83

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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.