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Finding the Fourth Proportional to 127,381.68, 191,072.54 and 57,178.98

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Solution

The fourth proportional to 127,381.68, 191,072.54 and 57,178.98 is: 85,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,381.68 : 191,072.54 = 57,178.98 : x
  2. Step 2: Convert to fraction form
    127,381.68/191,072.54 = 57,178.98/x
  3. Step 3: Cross multiply
    127,381.68x = 191,072.54 × 57,178.98
  4. Step 4: Simplify right side
    127,381.68x = 10,925,332,943.21
  5. Step 5: Solve for x
    x = 10,925,332,943.21/127,381.68
  6. Step 6: Final answer
    x = 85,768.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.