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Finding the Fourth Proportional to 177,713.67, 266,644.67 and 77,945.46

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Solution

The fourth proportional to 177,713.67, 266,644.67 and 77,945.46 is: 116,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,713.67 : 266,644.67 = 77,945.46 : x
  2. Step 2: Convert to fraction form
    177,713.67/266,644.67 = 77,945.46/x
  3. Step 3: Cross multiply
    177,713.67x = 266,644.67 × 77,945.46
  4. Step 4: Simplify right side
    177,713.67x = 20,783,742,008.37
  5. Step 5: Solve for x
    x = 20,783,742,008.37/177,713.67
  6. Step 6: Final answer
    x = 116,950.72

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Why These Related Problems?

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