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Finding the Fourth Proportional to 164,084.60, 245,738.10 and 111,207.80

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Solution

The fourth proportional to 164,084.60, 245,738.10 and 111,207.80 is: 166,548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,084.60 : 245,738.10 = 111,207.80 : x
  2. Step 2: Convert to fraction form
    164,084.60/245,738.10 = 111,207.80/x
  3. Step 3: Cross multiply
    164,084.60x = 245,738.10 × 111,207.80
  4. Step 4: Simplify right side
    164,084.60x = 27,327,993,477.18
  5. Step 5: Solve for x
    x = 27,327,993,477.18/164,084.60
  6. Step 6: Final answer
    x = 166,548.19

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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.