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Finding the Fourth Proportional to 145,443.38, 200,709.20 and 80,912.30

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Solution

The fourth proportional to 145,443.38, 200,709.20 and 80,912.30 is: 111,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,443.38 : 200,709.20 = 80,912.30 : x
  2. Step 2: Convert to fraction form
    145,443.38/200,709.20 = 80,912.30/x
  3. Step 3: Cross multiply
    145,443.38x = 200,709.20 × 80,912.30
  4. Step 4: Simplify right side
    145,443.38x = 16,239,842,598.60
  5. Step 5: Solve for x
    x = 16,239,842,598.60/145,443.38
  6. Step 6: Final answer
    x = 111,657.49

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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.