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Finding the Fourth Proportional to 122,195.90, 183,178.92 and 65,951.72

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Solution

The fourth proportional to 122,195.90, 183,178.92 and 65,951.72 is: 98,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,195.90 : 183,178.92 = 65,951.72 : x
  2. Step 2: Convert to fraction form
    122,195.90/183,178.92 = 65,951.72/x
  3. Step 3: Cross multiply
    122,195.90x = 183,178.92 × 65,951.72
  4. Step 4: Simplify right side
    122,195.90x = 12,080,964,841.74
  5. Step 5: Solve for x
    x = 12,080,964,841.74/122,195.90
  6. Step 6: Final answer
    x = 98,865.55

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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.