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Finding the Fourth Proportional to 164,193.98, 246,214.44 and 85,287.02

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Solution

The fourth proportional to 164,193.98, 246,214.44 and 85,287.02 is: 127,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,193.98 : 246,214.44 = 85,287.02 : x
  2. Step 2: Convert to fraction form
    164,193.98/246,214.44 = 85,287.02/x
  3. Step 3: Cross multiply
    164,193.98x = 246,214.44 × 85,287.02
  4. Step 4: Simplify right side
    164,193.98x = 20,998,894,637.50
  5. Step 5: Solve for x
    x = 20,998,894,637.50/164,193.98
  6. Step 6: Final answer
    x = 127,890.77

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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.