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Finding the Fourth Proportional to 74,782.60, 112,235.10 and 74,199.40

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Solution

The fourth proportional to 74,782.60, 112,235.10 and 74,199.40 is: 111,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,782.60 : 112,235.10 = 74,199.40 : x
  2. Step 2: Convert to fraction form
    74,782.60/112,235.10 = 74,199.40/x
  3. Step 3: Cross multiply
    74,782.60x = 112,235.10 × 74,199.40
  4. Step 4: Simplify right side
    74,782.60x = 8,327,777,078.94
  5. Step 5: Solve for x
    x = 8,327,777,078.94/74,782.60
  6. Step 6: Final answer
    x = 111,359.82

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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.