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Finding the Fourth Proportional to 198,292.87, 273,644.90 and 107,649.01

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Solution

The fourth proportional to 198,292.87, 273,644.90 and 107,649.01 is: 148,556.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,292.87 : 273,644.90 = 107,649.01 : x
  2. Step 2: Convert to fraction form
    198,292.87/273,644.90 = 107,649.01/x
  3. Step 3: Cross multiply
    198,292.87x = 273,644.90 × 107,649.01
  4. Step 4: Simplify right side
    198,292.87x = 29,457,602,038.30
  5. Step 5: Solve for x
    x = 29,457,602,038.30/198,292.87
  6. Step 6: Final answer
    x = 148,556.03

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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.