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Finding the Fourth Proportional to 123,158.88, 184,748.66 and 34,413.26

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Solution

The fourth proportional to 123,158.88, 184,748.66 and 34,413.26 is: 51,622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,158.88 : 184,748.66 = 34,413.26 : x
  2. Step 2: Convert to fraction form
    123,158.88/184,748.66 = 34,413.26/x
  3. Step 3: Cross multiply
    123,158.88x = 184,748.66 × 34,413.26
  4. Step 4: Simplify right side
    123,158.88x = 6,357,803,671.23
  5. Step 5: Solve for x
    x = 6,357,803,671.23/123,158.88
  6. Step 6: Final answer
    x = 51,622.78

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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.