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Finding the Fourth Proportional to 122,182.20, 183,305.70 and 43,288.20

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Solution

The fourth proportional to 122,182.20, 183,305.70 and 43,288.20 is: 64,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,182.20 : 183,305.70 = 43,288.20 : x
  2. Step 2: Convert to fraction form
    122,182.20/183,305.70 = 43,288.20/x
  3. Step 3: Cross multiply
    122,182.20x = 183,305.70 × 43,288.20
  4. Step 4: Simplify right side
    122,182.20x = 7,934,973,802.74
  5. Step 5: Solve for x
    x = 7,934,973,802.74/122,182.20
  6. Step 6: Final answer
    x = 64,943.78

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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.