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Finding the Fourth Proportional to 312,114.38, 430,671.67 and 189,543.02

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Solution

The fourth proportional to 312,114.38, 430,671.67 and 189,543.02 is: 261,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,114.38 : 430,671.67 = 189,543.02 : x
  2. Step 2: Convert to fraction form
    312,114.38/430,671.67 = 189,543.02/x
  3. Step 3: Cross multiply
    312,114.38x = 430,671.67 × 189,543.02
  4. Step 4: Simplify right side
    312,114.38x = 81,630,808,755.56
  5. Step 5: Solve for x
    x = 81,630,808,755.56/312,114.38
  6. Step 6: Final answer
    x = 261,541.33

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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.