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Finding the Fourth Proportional to 252,559.38, 378,825.22 and 152,692.76

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Solution

The fourth proportional to 252,559.38, 378,825.22 and 152,692.76 is: 229,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,559.38 : 378,825.22 = 152,692.76 : x
  2. Step 2: Convert to fraction form
    252,559.38/378,825.22 = 152,692.76/x
  3. Step 3: Cross multiply
    252,559.38x = 378,825.22 × 152,692.76
  4. Step 4: Simplify right side
    252,559.38x = 57,843,869,537.34
  5. Step 5: Solve for x
    x = 57,843,869,537.34/252,559.38
  6. Step 6: Final answer
    x = 229,030.77

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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.