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Finding the Fourth Proportional to 122,443.40, 183,665.10 and 43,646.60

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Solution

The fourth proportional to 122,443.40, 183,665.10 and 43,646.60 is: 65,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,443.40 : 183,665.10 = 43,646.60 : x
  2. Step 2: Convert to fraction form
    122,443.40/183,665.10 = 43,646.60/x
  3. Step 3: Cross multiply
    122,443.40x = 183,665.10 × 43,646.60
  4. Step 4: Simplify right side
    122,443.40x = 8,016,357,153.66
  5. Step 5: Solve for x
    x = 8,016,357,153.66/122,443.40
  6. Step 6: Final answer
    x = 65,469.90

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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.