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Finding the Fourth Proportional to 216,034.38, 298,124.82 and 135,509.04

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Solution

The fourth proportional to 216,034.38, 298,124.82 and 135,509.04 is: 187,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,034.38 : 298,124.82 = 135,509.04 : x
  2. Step 2: Convert to fraction form
    216,034.38/298,124.82 = 135,509.04/x
  3. Step 3: Cross multiply
    216,034.38x = 298,124.82 × 135,509.04
  4. Step 4: Simplify right side
    216,034.38x = 40,398,608,158.37
  5. Step 5: Solve for x
    x = 40,398,608,158.37/216,034.38
  6. Step 6: Final answer
    x = 187,000.83

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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.