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Finding the Fourth Proportional to 172,692.19, 257,771.69 and 160,028.13

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Solution

The fourth proportional to 172,692.19, 257,771.69 and 160,028.13 is: 238,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,692.19 : 257,771.69 = 160,028.13 : x
  2. Step 2: Convert to fraction form
    172,692.19/257,771.69 = 160,028.13/x
  3. Step 3: Cross multiply
    172,692.19x = 257,771.69 × 160,028.13
  4. Step 4: Simplify right side
    172,692.19x = 41,250,721,517.64
  5. Step 5: Solve for x
    x = 41,250,721,517.64/172,692.19
  6. Step 6: Final answer
    x = 238,868.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.