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Finding the Fourth Proportional to 292,082.58, 403,085.16 and 164,755.44

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Solution

The fourth proportional to 292,082.58, 403,085.16 and 164,755.44 is: 227,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,082.58 : 403,085.16 = 164,755.44 : x
  2. Step 2: Convert to fraction form
    292,082.58/403,085.16 = 164,755.44/x
  3. Step 3: Cross multiply
    292,082.58x = 403,085.16 × 164,755.44
  4. Step 4: Simplify right side
    292,082.58x = 66,410,472,893.27
  5. Step 5: Solve for x
    x = 66,410,472,893.27/292,082.58
  6. Step 6: Final answer
    x = 227,368.82

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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.