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Finding the Fourth Proportional to 200,630.46, 300,858.20 and 75,883.98

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Solution

The fourth proportional to 200,630.46, 300,858.20 and 75,883.98 is: 113,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,630.46 : 300,858.20 = 75,883.98 : x
  2. Step 2: Convert to fraction form
    200,630.46/300,858.20 = 75,883.98/x
  3. Step 3: Cross multiply
    200,630.46x = 300,858.20 × 75,883.98
  4. Step 4: Simplify right side
    200,630.46x = 22,830,316,549.59
  5. Step 5: Solve for x
    x = 22,830,316,549.59/200,630.46
  6. Step 6: Final answer
    x = 113,792.88

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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.