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Finding the Fourth Proportional to 177,749.49, 266,722.65 and 106,497.03

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Solution

The fourth proportional to 177,749.49, 266,722.65 and 106,497.03 is: 159,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,749.49 : 266,722.65 = 106,497.03 : x
  2. Step 2: Convert to fraction form
    177,749.49/266,722.65 = 106,497.03/x
  3. Step 3: Cross multiply
    177,749.49x = 266,722.65 × 106,497.03
  4. Step 4: Simplify right side
    177,749.49x = 28,405,170,058.73
  5. Step 5: Solve for x
    x = 28,405,170,058.73/177,749.49
  6. Step 6: Final answer
    x = 159,804.51

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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.