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Finding the Fourth Proportional to 72,077.60, 108,116.40 and 71,559.20

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Solution

The fourth proportional to 72,077.60, 108,116.40 and 71,559.20 is: 107,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,077.60 : 108,116.40 = 71,559.20 : x
  2. Step 2: Convert to fraction form
    72,077.60/108,116.40 = 71,559.20/x
  3. Step 3: Cross multiply
    72,077.60x = 108,116.40 × 71,559.20
  4. Step 4: Simplify right side
    72,077.60x = 7,736,723,090.88
  5. Step 5: Solve for x
    x = 7,736,723,090.88/72,077.60
  6. Step 6: Final answer
    x = 107,338.80

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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.