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Finding the Fourth Proportional to 122,309.84, 183,481.76 and 43,405.32

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Solution

The fourth proportional to 122,309.84, 183,481.76 and 43,405.32 is: 65,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,309.84 : 183,481.76 = 43,405.32 : x
  2. Step 2: Convert to fraction form
    122,309.84/183,481.76 = 43,405.32/x
  3. Step 3: Cross multiply
    122,309.84x = 183,481.76 × 43,405.32
  4. Step 4: Simplify right side
    122,309.84x = 7,964,084,506.96
  5. Step 5: Solve for x
    x = 7,964,084,506.96/122,309.84
  6. Step 6: Final answer
    x = 65,114.01

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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.