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Finding the Fourth Proportional to 202,305, 303,472.08 and 77,646

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Solution

The fourth proportional to 202,305, 303,472.08 and 77,646 is: 116,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,305 : 303,472.08 = 77,646 : x
  2. Step 2: Convert to fraction form
    202,305/303,472.08 = 77,646/x
  3. Step 3: Cross multiply
    202,305x = 303,472.08 × 77,646
  4. Step 4: Simplify right side
    202,305x = 23,563,393,123.68
  5. Step 5: Solve for x
    x = 23,563,393,123.68/202,305
  6. Step 6: Final answer
    x = 116,474.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.