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Finding the Fourth Proportional to 185,375.80, 277,998.90 and 96,599.80

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Solution

The fourth proportional to 185,375.80, 277,998.90 and 96,599.80 is: 144,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,375.80 : 277,998.90 = 96,599.80 : x
  2. Step 2: Convert to fraction form
    185,375.80/277,998.90 = 96,599.80/x
  3. Step 3: Cross multiply
    185,375.80x = 277,998.90 × 96,599.80
  4. Step 4: Simplify right side
    185,375.80x = 26,854,638,140.22
  5. Step 5: Solve for x
    x = 26,854,638,140.22/185,375.80
  6. Step 6: Final answer
    x = 144,865.93

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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.