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Finding the Fourth Proportional to 209,677.77, 289,359.93 and 114,184.49

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Solution

The fourth proportional to 209,677.77, 289,359.93 and 114,184.49 is: 157,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,677.77 : 289,359.93 = 114,184.49 : x
  2. Step 2: Convert to fraction form
    209,677.77/289,359.93 = 114,184.49/x
  3. Step 3: Cross multiply
    209,677.77x = 289,359.93 × 114,184.49
  4. Step 4: Simplify right side
    209,677.77x = 33,040,414,586.69
  5. Step 5: Solve for x
    x = 33,040,414,586.69/209,677.77
  6. Step 6: Final answer
    x = 157,577.10

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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.