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Finding the Fourth Proportional to 202,692.40, 302,554.24 and 178,751.44

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Solution

The fourth proportional to 202,692.40, 302,554.24 and 178,751.44 is: 266,818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,692.40 : 302,554.24 = 178,751.44 : x
  2. Step 2: Convert to fraction form
    202,692.40/302,554.24 = 178,751.44/x
  3. Step 3: Cross multiply
    202,692.40x = 302,554.24 × 178,751.44
  4. Step 4: Simplify right side
    202,692.40x = 54,082,006,078.11
  5. Step 5: Solve for x
    x = 54,082,006,078.11/202,692.40
  6. Step 6: Final answer
    x = 266,818.12

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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.