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Finding the Fourth Proportional to 177,677.80, 245,171.67 and 114,101.71

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Solution

The fourth proportional to 177,677.80, 245,171.67 and 114,101.71 is: 157,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,677.80 : 245,171.67 = 114,101.71 : x
  2. Step 2: Convert to fraction form
    177,677.80/245,171.67 = 114,101.71/x
  3. Step 3: Cross multiply
    177,677.80x = 245,171.67 × 114,101.71
  4. Step 4: Simplify right side
    177,677.80x = 27,974,505,564.70
  5. Step 5: Solve for x
    x = 27,974,505,564.70/177,677.80
  6. Step 6: Final answer
    x = 157,445.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.