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Finding the Fourth Proportional to 123,205.77, 184,828.59 and 48,285.29

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Solution

The fourth proportional to 123,205.77, 184,828.59 and 48,285.29 is: 72,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,205.77 : 184,828.59 = 48,285.29 : x
  2. Step 2: Convert to fraction form
    123,205.77/184,828.59 = 48,285.29/x
  3. Step 3: Cross multiply
    123,205.77x = 184,828.59 × 48,285.29
  4. Step 4: Simplify right side
    123,205.77x = 8,924,501,144.30
  5. Step 5: Solve for x
    x = 8,924,501,144.30/123,205.77
  6. Step 6: Final answer
    x = 72,435.74

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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.