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Finding the Fourth Proportional to 218,127.36, 326,856.80 and 146,786.04

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Solution

The fourth proportional to 218,127.36, 326,856.80 and 146,786.04 is: 219,954.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,127.36 : 326,856.80 = 146,786.04 : x
  2. Step 2: Convert to fraction form
    218,127.36/326,856.80 = 146,786.04/x
  3. Step 3: Cross multiply
    218,127.36x = 326,856.80 × 146,786.04
  4. Step 4: Simplify right side
    218,127.36x = 47,978,015,319.07
  5. Step 5: Solve for x
    x = 47,978,015,319.07/218,127.36
  6. Step 6: Final answer
    x = 219,954.14

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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.