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Finding the Fourth Proportional to 203,432.52, 305,113.95 and 53,674.38

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Solution

The fourth proportional to 203,432.52, 305,113.95 and 53,674.38 is: 80,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,432.52 : 305,113.95 = 53,674.38 : x
  2. Step 2: Convert to fraction form
    203,432.52/305,113.95 = 53,674.38/x
  3. Step 3: Cross multiply
    203,432.52x = 305,113.95 × 53,674.38
  4. Step 4: Simplify right side
    203,432.52x = 16,376,802,095.60
  5. Step 5: Solve for x
    x = 16,376,802,095.60/203,432.52
  6. Step 6: Final answer
    x = 80,502.38

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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.