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Finding the Fourth Proportional to 164,493.60, 246,855.60 and 105,472.80

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Solution

The fourth proportional to 164,493.60, 246,855.60 and 105,472.80 is: 158,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,493.60 : 246,855.60 = 105,472.80 : x
  2. Step 2: Convert to fraction form
    164,493.60/246,855.60 = 105,472.80/x
  3. Step 3: Cross multiply
    164,493.60x = 246,855.60 × 105,472.80
  4. Step 4: Simplify right side
    164,493.60x = 26,036,551,327.68
  5. Step 5: Solve for x
    x = 26,036,551,327.68/164,493.60
  6. Step 6: Final answer
    x = 158,283.07

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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.