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Finding the Fourth Proportional to 148,692.88, 205,366.49 and 97,932.48

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Solution

The fourth proportional to 148,692.88, 205,366.49 and 97,932.48 is: 135,259.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,692.88 : 205,366.49 = 97,932.48 : x
  2. Step 2: Convert to fraction form
    148,692.88/205,366.49 = 97,932.48/x
  3. Step 3: Cross multiply
    148,692.88x = 205,366.49 × 97,932.48
  4. Step 4: Simplify right side
    148,692.88x = 20,112,049,674.60
  5. Step 5: Solve for x
    x = 20,112,049,674.60/148,692.88
  6. Step 6: Final answer
    x = 135,259.00

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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.