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Finding the Fourth Proportional to 133,205.70, 199,907.10 and 63,085.14

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Solution

The fourth proportional to 133,205.70, 199,907.10 and 63,085.14 is: 94,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,205.70 : 199,907.10 = 63,085.14 : x
  2. Step 2: Convert to fraction form
    133,205.70/199,907.10 = 63,085.14/x
  3. Step 3: Cross multiply
    133,205.70x = 199,907.10 × 63,085.14
  4. Step 4: Simplify right side
    133,205.70x = 12,611,167,390.49
  5. Step 5: Solve for x
    x = 12,611,167,390.49/133,205.70
  6. Step 6: Final answer
    x = 94,674.38

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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.