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Finding the Fourth Proportional to 127,738.14, 176,283.03 and 74,023.26

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Solution

The fourth proportional to 127,738.14, 176,283.03 and 74,023.26 is: 102,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,738.14 : 176,283.03 = 74,023.26 : x
  2. Step 2: Convert to fraction form
    127,738.14/176,283.03 = 74,023.26/x
  3. Step 3: Cross multiply
    127,738.14x = 176,283.03 × 74,023.26
  4. Step 4: Simplify right side
    127,738.14x = 13,049,044,563.28
  5. Step 5: Solve for x
    x = 13,049,044,563.28/127,738.14
  6. Step 6: Final answer
    x = 102,154.65

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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.