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Finding the Fourth Proportional to 218,973.92, 327,628.80 and 133,607.95

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Solution

The fourth proportional to 218,973.92, 327,628.80 and 133,607.95 is: 199,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,973.92 : 327,628.80 = 133,607.95 : x
  2. Step 2: Convert to fraction form
    218,973.92/327,628.80 = 133,607.95/x
  3. Step 3: Cross multiply
    218,973.92x = 327,628.80 × 133,607.95
  4. Step 4: Simplify right side
    218,973.92x = 43,773,811,509.89
  5. Step 5: Solve for x
    x = 43,773,811,509.89/218,973.92
  6. Step 6: Final answer
    x = 199,904.23

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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.