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Finding the Fourth Proportional to 122,185.24, 183,271.18 and 33,432.34

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Solution

The fourth proportional to 122,185.24, 183,271.18 and 33,432.34 is: 50,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,185.24 : 183,271.18 = 33,432.34 : x
  2. Step 2: Convert to fraction form
    122,185.24/183,271.18 = 33,432.34/x
  3. Step 3: Cross multiply
    122,185.24x = 183,271.18 × 33,432.34
  4. Step 4: Simplify right side
    122,185.24x = 6,127,184,401.96
  5. Step 5: Solve for x
    x = 6,127,184,401.96/122,185.24
  6. Step 6: Final answer
    x = 50,146.68

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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.