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Finding the Fourth Proportional to 122,902.88, 184,354.32 and 70,275.45

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Solution

The fourth proportional to 122,902.88, 184,354.32 and 70,275.45 is: 105,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,902.88 : 184,354.32 = 70,275.45 : x
  2. Step 2: Convert to fraction form
    122,902.88/184,354.32 = 70,275.45/x
  3. Step 3: Cross multiply
    122,902.88x = 184,354.32 × 70,275.45
  4. Step 4: Simplify right side
    122,902.88x = 12,955,582,797.44
  5. Step 5: Solve for x
    x = 12,955,582,797.44/122,902.88
  6. Step 6: Final answer
    x = 105,413.18

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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.