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Finding the Fourth Proportional to 122,442.40, 183,663.60 and 82,784.80

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Solution

The fourth proportional to 122,442.40, 183,663.60 and 82,784.80 is: 124,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,442.40 : 183,663.60 = 82,784.80 : x
  2. Step 2: Convert to fraction form
    122,442.40/183,663.60 = 82,784.80/x
  3. Step 3: Cross multiply
    122,442.40x = 183,663.60 × 82,784.80
  4. Step 4: Simplify right side
    122,442.40x = 15,204,554,393.28
  5. Step 5: Solve for x
    x = 15,204,554,393.28/122,442.40
  6. Step 6: Final answer
    x = 124,177.20

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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.