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Finding the Fourth Proportional to 133,205.68, 199,907.10 and 63,085.16

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Solution

The fourth proportional to 133,205.68, 199,907.10 and 63,085.16 is: 94,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,205.68 : 199,907.10 = 63,085.16 : x
  2. Step 2: Convert to fraction form
    133,205.68/199,907.10 = 63,085.16/x
  3. Step 3: Cross multiply
    133,205.68x = 199,907.10 × 63,085.16
  4. Step 4: Simplify right side
    133,205.68x = 12,611,171,388.64
  5. Step 5: Solve for x
    x = 12,611,171,388.64/133,205.68
  6. Step 6: Final answer
    x = 94,674.43

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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.