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Finding the Fourth Proportional to 133,566.84, 200,408.16 and 73,521.95

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Solution

The fourth proportional to 133,566.84, 200,408.16 and 73,521.95 is: 110,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,566.84 : 200,408.16 = 73,521.95 : x
  2. Step 2: Convert to fraction form
    133,566.84/200,408.16 = 73,521.95/x
  3. Step 3: Cross multiply
    133,566.84x = 200,408.16 × 73,521.95
  4. Step 4: Simplify right side
    133,566.84x = 14,734,397,717.07
  5. Step 5: Solve for x
    x = 14,734,397,717.07/133,566.84
  6. Step 6: Final answer
    x = 110,314.79

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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.