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Finding the Fourth Proportional to 148,302.94, 204,657.02 and 80,318.38

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Solution

The fourth proportional to 148,302.94, 204,657.02 and 80,318.38 is: 110,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,302.94 : 204,657.02 = 80,318.38 : x
  2. Step 2: Convert to fraction form
    148,302.94/204,657.02 = 80,318.38/x
  3. Step 3: Cross multiply
    148,302.94x = 204,657.02 × 80,318.38
  4. Step 4: Simplify right side
    148,302.94x = 16,437,720,302.03
  5. Step 5: Solve for x
    x = 16,437,720,302.03/148,302.94
  6. Step 6: Final answer
    x = 110,838.80

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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.