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Finding the Fourth Proportional to 144,009.02, 198,733.02 and 80,349.50

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Solution

The fourth proportional to 144,009.02, 198,733.02 and 80,349.50 is: 110,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,009.02 : 198,733.02 = 80,349.50 : x
  2. Step 2: Convert to fraction form
    144,009.02/198,733.02 = 80,349.50/x
  3. Step 3: Cross multiply
    144,009.02x = 198,733.02 × 80,349.50
  4. Step 4: Simplify right side
    144,009.02x = 15,968,098,790.49
  5. Step 5: Solve for x
    x = 15,968,098,790.49/144,009.02
  6. Step 6: Final answer
    x = 110,882.63

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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.