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Finding the Fourth Proportional to 123,170.19, 184,754.95 and 29,675.94

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Solution

The fourth proportional to 123,170.19, 184,754.95 and 29,675.94 is: 44,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,170.19 : 184,754.95 = 29,675.94 : x
  2. Step 2: Convert to fraction form
    123,170.19/184,754.95 = 29,675.94/x
  3. Step 3: Cross multiply
    123,170.19x = 184,754.95 × 29,675.94
  4. Step 4: Simplify right side
    123,170.19x = 5,482,776,810.90
  5. Step 5: Solve for x
    x = 5,482,776,810.90/123,170.19
  6. Step 6: Final answer
    x = 44,513.83

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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.