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Finding the Fourth Proportional to 177,891.69, 245,463.74 and 101,417.43

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Solution

The fourth proportional to 177,891.69, 245,463.74 and 101,417.43 is: 139,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,891.69 : 245,463.74 = 101,417.43 : x
  2. Step 2: Convert to fraction form
    177,891.69/245,463.74 = 101,417.43/x
  3. Step 3: Cross multiply
    177,891.69x = 245,463.74 × 101,417.43
  4. Step 4: Simplify right side
    177,891.69x = 24,894,301,161.90
  5. Step 5: Solve for x
    x = 24,894,301,161.90/177,891.69
  6. Step 6: Final answer
    x = 139,940.78

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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.