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Finding the Fourth Proportional to 141,096.34, 194,716.74 and 77,436.40

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Solution

The fourth proportional to 141,096.34, 194,716.74 and 77,436.40 is: 106,864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,096.34 : 194,716.74 = 77,436.40 : x
  2. Step 2: Convert to fraction form
    141,096.34/194,716.74 = 77,436.40/x
  3. Step 3: Cross multiply
    141,096.34x = 194,716.74 × 77,436.40
  4. Step 4: Simplify right side
    141,096.34x = 15,078,163,365.34
  5. Step 5: Solve for x
    x = 15,078,163,365.34/141,096.34
  6. Step 6: Final answer
    x = 106,864.31

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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.