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Finding the Fourth Proportional to 177,408.30, 266,112.45 and 127,836.30

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Solution

The fourth proportional to 177,408.30, 266,112.45 and 127,836.30 is: 191,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,408.30 : 266,112.45 = 127,836.30 : x
  2. Step 2: Convert to fraction form
    177,408.30/266,112.45 = 127,836.30/x
  3. Step 3: Cross multiply
    177,408.30x = 266,112.45 × 127,836.30
  4. Step 4: Simplify right side
    177,408.30x = 34,018,830,991.94
  5. Step 5: Solve for x
    x = 34,018,830,991.94/177,408.30
  6. Step 6: Final answer
    x = 191,754.45

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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.