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Finding the Fourth Proportional to 177,711.14, 245,243.01 and 101,229.14

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Solution

The fourth proportional to 177,711.14, 245,243.01 and 101,229.14 is: 139,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,711.14 : 245,243.01 = 101,229.14 : x
  2. Step 2: Convert to fraction form
    177,711.14/245,243.01 = 101,229.14/x
  3. Step 3: Cross multiply
    177,711.14x = 245,243.01 × 101,229.14
  4. Step 4: Simplify right side
    177,711.14x = 24,825,738,146.71
  5. Step 5: Solve for x
    x = 24,825,738,146.71/177,711.14
  6. Step 6: Final answer
    x = 139,697.14

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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.