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Finding the Fourth Proportional to 210,673.38, 290,729.27 and 113,876.91

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Solution

The fourth proportional to 210,673.38, 290,729.27 and 113,876.91 is: 157,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,673.38 : 290,729.27 = 113,876.91 : x
  2. Step 2: Convert to fraction form
    210,673.38/290,729.27 = 113,876.91/x
  3. Step 3: Cross multiply
    210,673.38x = 290,729.27 × 113,876.91
  4. Step 4: Simplify right side
    210,673.38x = 33,107,351,071.59
  5. Step 5: Solve for x
    x = 33,107,351,071.59/210,673.38
  6. Step 6: Final answer
    x = 157,150.14

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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.