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Finding the Fourth Proportional to 122,895.20, 184,342.80 and 110,429.30

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Solution

The fourth proportional to 122,895.20, 184,342.80 and 110,429.30 is: 165,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,895.20 : 184,342.80 = 110,429.30 : x
  2. Step 2: Convert to fraction form
    122,895.20/184,342.80 = 110,429.30/x
  3. Step 3: Cross multiply
    122,895.20x = 184,342.80 × 110,429.30
  4. Step 4: Simplify right side
    122,895.20x = 20,356,846,364.04
  5. Step 5: Solve for x
    x = 20,356,846,364.04/122,895.20
  6. Step 6: Final answer
    x = 165,643.95

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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.