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Finding the Fourth Proportional to 122,894.20, 184,341.30 and 110,428.30

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Solution

The fourth proportional to 122,894.20, 184,341.30 and 110,428.30 is: 165,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,894.20 : 184,341.30 = 110,428.30 : x
  2. Step 2: Convert to fraction form
    122,894.20/184,341.30 = 110,428.30/x
  3. Step 3: Cross multiply
    122,894.20x = 184,341.30 × 110,428.30
  4. Step 4: Simplify right side
    122,894.20x = 20,356,496,378.79
  5. Step 5: Solve for x
    x = 20,356,496,378.79/122,894.20
  6. Step 6: Final answer
    x = 165,642.45

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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.