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Finding the Fourth Proportional to 123,376.56, 184,637.16 and 75,970.50

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Solution

The fourth proportional to 123,376.56, 184,637.16 and 75,970.50 is: 113,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,376.56 : 184,637.16 = 75,970.50 : x
  2. Step 2: Convert to fraction form
    123,376.56/184,637.16 = 75,970.50/x
  3. Step 3: Cross multiply
    123,376.56x = 184,637.16 × 75,970.50
  4. Step 4: Simplify right side
    123,376.56x = 14,026,977,363.78
  5. Step 5: Solve for x
    x = 14,026,977,363.78/123,376.56
  6. Step 6: Final answer
    x = 113,692.40

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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.