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Finding the Fourth Proportional to 135,352.85, 186,784.67 and 74,922.20

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Solution

The fourth proportional to 135,352.85, 186,784.67 and 74,922.20 is: 103,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,352.85 : 186,784.67 = 74,922.20 : x
  2. Step 2: Convert to fraction form
    135,352.85/186,784.67 = 74,922.20/x
  3. Step 3: Cross multiply
    135,352.85x = 186,784.67 × 74,922.20
  4. Step 4: Simplify right side
    135,352.85x = 13,994,318,402.67
  5. Step 5: Solve for x
    x = 13,994,318,402.67/135,352.85
  6. Step 6: Final answer
    x = 103,391.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.