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Finding the Fourth Proportional to 122,819.84, 184,229.10 and 106,129.10

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Solution

The fourth proportional to 122,819.84, 184,229.10 and 106,129.10 is: 159,193.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,819.84 : 184,229.10 = 106,129.10 : x
  2. Step 2: Convert to fraction form
    122,819.84/184,229.10 = 106,129.10/x
  3. Step 3: Cross multiply
    122,819.84x = 184,229.10 × 106,129.10
  4. Step 4: Simplify right side
    122,819.84x = 19,552,068,576.81
  5. Step 5: Solve for x
    x = 19,552,068,576.81/122,819.84
  6. Step 6: Final answer
    x = 159,193.08

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1.5x scale

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.