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Finding the Fourth Proportional to 363,133, 501,123.54 and 204,157

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Solution

The fourth proportional to 363,133, 501,123.54 and 204,157 is: 281,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,133 : 501,123.54 = 204,157 : x
  2. Step 2: Convert to fraction form
    363,133/501,123.54 = 204,157/x
  3. Step 3: Cross multiply
    363,133x = 501,123.54 × 204,157
  4. Step 4: Simplify right side
    363,133x = 102,307,878,555.78
  5. Step 5: Solve for x
    x = 102,307,878,555.78/363,133
  6. Step 6: Final answer
    x = 281,736.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.