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Finding the Fourth Proportional to 121,549.40, 182,324.10 and 51,419.60

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Solution

The fourth proportional to 121,549.40, 182,324.10 and 51,419.60 is: 77,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,549.40 : 182,324.10 = 51,419.60 : x
  2. Step 2: Convert to fraction form
    121,549.40/182,324.10 = 51,419.60/x
  3. Step 3: Cross multiply
    121,549.40x = 182,324.10 × 51,419.60
  4. Step 4: Simplify right side
    121,549.40x = 9,375,032,292.36
  5. Step 5: Solve for x
    x = 9,375,032,292.36/121,549.40
  6. Step 6: Final answer
    x = 77,129.40

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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.