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Finding the Fourth Proportional to 150,428.34, 207,592.70 and 82,443.81

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Solution

The fourth proportional to 150,428.34, 207,592.70 and 82,443.81 is: 113,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,428.34 : 207,592.70 = 82,443.81 : x
  2. Step 2: Convert to fraction form
    150,428.34/207,592.70 = 82,443.81/x
  3. Step 3: Cross multiply
    150,428.34x = 207,592.70 × 82,443.81
  4. Step 4: Simplify right side
    150,428.34x = 17,114,732,703.97
  5. Step 5: Solve for x
    x = 17,114,732,703.97/150,428.34
  6. Step 6: Final answer
    x = 113,773.33

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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.