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Finding the Fourth Proportional to 147,100.50, 202,998.69 and 80,032.98

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Solution

The fourth proportional to 147,100.50, 202,998.69 and 80,032.98 is: 110,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,100.50 : 202,998.69 = 80,032.98 : x
  2. Step 2: Convert to fraction form
    147,100.50/202,998.69 = 80,032.98/x
  3. Step 3: Cross multiply
    147,100.50x = 202,998.69 × 80,032.98
  4. Step 4: Simplify right side
    147,100.50x = 16,246,590,096.80
  5. Step 5: Solve for x
    x = 16,246,590,096.80/147,100.50
  6. Step 6: Final answer
    x = 110,445.51

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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.