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Finding the Fourth Proportional to 133,195.16, 183,806.34 and 72,766.06

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Solution

The fourth proportional to 133,195.16, 183,806.34 and 72,766.06 is: 100,415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,195.16 : 183,806.34 = 72,766.06 : x
  2. Step 2: Convert to fraction form
    133,195.16/183,806.34 = 72,766.06/x
  3. Step 3: Cross multiply
    133,195.16x = 183,806.34 × 72,766.06
  4. Step 4: Simplify right side
    133,195.16x = 13,374,863,164.82
  5. Step 5: Solve for x
    x = 13,374,863,164.82/133,195.16
  6. Step 6: Final answer
    x = 100,415.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.