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Finding the Fourth Proportional to 122,952.30, 184,428.45 and 109,733.10

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Solution

The fourth proportional to 122,952.30, 184,428.45 and 109,733.10 is: 164,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,952.30 : 184,428.45 = 109,733.10 : x
  2. Step 2: Convert to fraction form
    122,952.30/184,428.45 = 109,733.10/x
  3. Step 3: Cross multiply
    122,952.30x = 184,428.45 × 109,733.10
  4. Step 4: Simplify right side
    122,952.30x = 20,237,905,546.70
  5. Step 5: Solve for x
    x = 20,237,905,546.70/122,952.30
  6. Step 6: Final answer
    x = 164,599.65

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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.