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Finding the Fourth Proportional to 121,202.40, 181,738.80 and 51,002.40

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Solution

The fourth proportional to 121,202.40, 181,738.80 and 51,002.40 is: 76,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,202.40 : 181,738.80 = 51,002.40 : x
  2. Step 2: Convert to fraction form
    121,202.40/181,738.80 = 51,002.40/x
  3. Step 3: Cross multiply
    121,202.40x = 181,738.80 × 51,002.40
  4. Step 4: Simplify right side
    121,202.40x = 9,269,114,973.12
  5. Step 5: Solve for x
    x = 9,269,114,973.12/121,202.40
  6. Step 6: Final answer
    x = 76,476.33

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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.