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Finding the Fourth Proportional to 177,678.80, 245,173.11 and 114,102.71

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Solution

The fourth proportional to 177,678.80, 245,173.11 and 114,102.71 is: 157,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,678.80 : 245,173.11 = 114,102.71 : x
  2. Step 2: Convert to fraction form
    177,678.80/245,173.11 = 114,102.71/x
  3. Step 3: Cross multiply
    177,678.80x = 245,173.11 × 114,102.71
  4. Step 4: Simplify right side
    177,678.80x = 27,974,915,044.26
  5. Step 5: Solve for x
    x = 27,974,915,044.26/177,678.80
  6. Step 6: Final answer
    x = 157,446.56

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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.