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Finding the Fourth Proportional to 210,119.82, 289,913.67 and 134,770.38

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Solution

The fourth proportional to 210,119.82, 289,913.67 and 134,770.38 is: 185,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,119.82 : 289,913.67 = 134,770.38 : x
  2. Step 2: Convert to fraction form
    210,119.82/289,913.67 = 134,770.38/x
  3. Step 3: Cross multiply
    210,119.82x = 289,913.67 × 134,770.38
  4. Step 4: Simplify right side
    210,119.82x = 39,071,775,473.09
  5. Step 5: Solve for x
    x = 39,071,775,473.09/210,119.82
  6. Step 6: Final answer
    x = 185,949.98

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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.