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Finding the Fourth Proportional to 314,100.69, 433,361.14 and 178,123.96

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Solution

The fourth proportional to 314,100.69, 433,361.14 and 178,123.96 is: 245,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,100.69 : 433,361.14 = 178,123.96 : x
  2. Step 2: Convert to fraction form
    314,100.69/433,361.14 = 178,123.96/x
  3. Step 3: Cross multiply
    314,100.69x = 433,361.14 × 178,123.96
  4. Step 4: Simplify right side
    314,100.69x = 77,192,002,463.31
  5. Step 5: Solve for x
    x = 77,192,002,463.31/314,100.69
  6. Step 6: Final answer
    x = 245,755.60

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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.