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Finding the Fourth Proportional to 121,456.40, 182,119.80 and 51,256.40

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Solution

The fourth proportional to 121,456.40, 182,119.80 and 51,256.40 is: 76,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,456.40 : 182,119.80 = 51,256.40 : x
  2. Step 2: Convert to fraction form
    121,456.40/182,119.80 = 51,256.40/x
  3. Step 3: Cross multiply
    121,456.40x = 182,119.80 × 51,256.40
  4. Step 4: Simplify right side
    121,456.40x = 9,334,805,316.72
  5. Step 5: Solve for x
    x = 9,334,805,316.72/121,456.40
  6. Step 6: Final answer
    x = 76,857.25

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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.