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Finding the Fourth Proportional to 148,414.84, 204,820.86 and 88,021.24

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Solution

The fourth proportional to 148,414.84, 204,820.86 and 88,021.24 is: 121,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,414.84 : 204,820.86 = 88,021.24 : x
  2. Step 2: Convert to fraction form
    148,414.84/204,820.86 = 88,021.24/x
  3. Step 3: Cross multiply
    148,414.84x = 204,820.86 × 88,021.24
  4. Step 4: Simplify right side
    148,414.84x = 18,028,586,075.07
  5. Step 5: Solve for x
    x = 18,028,586,075.07/148,414.84
  6. Step 6: Final answer
    x = 121,474.28

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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.