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Finding the Fourth Proportional to 136,766.40, 205,052.40 and 61,922.40

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Solution

The fourth proportional to 136,766.40, 205,052.40 and 61,922.40 is: 92,839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,766.40 : 205,052.40 = 61,922.40 : x
  2. Step 2: Convert to fraction form
    136,766.40/205,052.40 = 61,922.40/x
  3. Step 3: Cross multiply
    136,766.40x = 205,052.40 × 61,922.40
  4. Step 4: Simplify right side
    136,766.40x = 12,697,336,733.76
  5. Step 5: Solve for x
    x = 12,697,336,733.76/136,766.40
  6. Step 6: Final answer
    x = 92,839.59

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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.