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Finding the Fourth Proportional to 123,319.18, 184,978.86 and 29,825.02

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Solution

The fourth proportional to 123,319.18, 184,978.86 and 29,825.02 is: 44,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,319.18 : 184,978.86 = 29,825.02 : x
  2. Step 2: Convert to fraction form
    123,319.18/184,978.86 = 29,825.02/x
  3. Step 3: Cross multiply
    123,319.18x = 184,978.86 × 29,825.02
  4. Step 4: Simplify right side
    123,319.18x = 5,516,998,199.08
  5. Step 5: Solve for x
    x = 5,516,998,199.08/123,319.18
  6. Step 6: Final answer
    x = 44,737.55

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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.