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Finding the Fourth Proportional to 121,271.60, 181,993.80 and 51,201.20

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Solution

The fourth proportional to 121,271.60, 181,993.80 and 51,201.20 is: 76,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,271.60 : 181,993.80 = 51,201.20 : x
  2. Step 2: Convert to fraction form
    121,271.60/181,993.80 = 51,201.20/x
  3. Step 3: Cross multiply
    121,271.60x = 181,993.80 × 51,201.20
  4. Step 4: Simplify right side
    121,271.60x = 9,318,300,952.56
  5. Step 5: Solve for x
    x = 9,318,300,952.56/121,271.60
  6. Step 6: Final answer
    x = 76,838.28

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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.