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Finding the Fourth Proportional to 356,169, 491,491.54 and 195,025.98

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Solution

The fourth proportional to 356,169, 491,491.54 and 195,025.98 is: 269,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,169 : 491,491.54 = 195,025.98 : x
  2. Step 2: Convert to fraction form
    356,169/491,491.54 = 195,025.98/x
  3. Step 3: Cross multiply
    356,169x = 491,491.54 × 195,025.98
  4. Step 4: Simplify right side
    356,169x = 95,853,619,250.21
  5. Step 5: Solve for x
    x = 95,853,619,250.21/356,169
  6. Step 6: Final answer
    x = 269,123.98

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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.