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Finding the Fourth Proportional to 99,780.80, 149,692.80 and 29,667.20

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Solution

The fourth proportional to 99,780.80, 149,692.80 and 29,667.20 is: 44,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,780.80 : 149,692.80 = 29,667.20 : x
  2. Step 2: Convert to fraction form
    99,780.80/149,692.80 = 29,667.20/x
  3. Step 3: Cross multiply
    99,780.80x = 149,692.80 × 29,667.20
  4. Step 4: Simplify right side
    99,780.80x = 4,440,966,236.16
  5. Step 5: Solve for x
    x = 4,440,966,236.16/99,780.80
  6. Step 6: Final answer
    x = 44,507.22

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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.