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Finding the Fourth Proportional to 171,692.80, 257,539.20 and 164,694.40

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Solution

The fourth proportional to 171,692.80, 257,539.20 and 164,694.40 is: 247,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,692.80 : 257,539.20 = 164,694.40 : x
  2. Step 2: Convert to fraction form
    171,692.80/257,539.20 = 164,694.40/x
  3. Step 3: Cross multiply
    171,692.80x = 257,539.20 × 164,694.40
  4. Step 4: Simplify right side
    171,692.80x = 42,415,264,020.48
  5. Step 5: Solve for x
    x = 42,415,264,020.48/171,692.80
  6. Step 6: Final answer
    x = 247,041.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.