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Finding the Fourth Proportional to 365,302.50, 504,123.15 and 204,167.98

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Solution

The fourth proportional to 365,302.50, 504,123.15 and 204,167.98 is: 281,755.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,302.50 : 504,123.15 = 204,167.98 : x
  2. Step 2: Convert to fraction form
    365,302.50/504,123.15 = 204,167.98/x
  3. Step 3: Cross multiply
    365,302.50x = 504,123.15 × 204,167.98
  4. Step 4: Simplify right side
    365,302.50x = 102,925,805,206.74
  5. Step 5: Solve for x
    x = 102,925,805,206.74/365,302.50
  6. Step 6: Final answer
    x = 281,755.00

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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.