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Finding the Fourth Proportional to 210,701.88, 290,779.38 and 115,207.56

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Solution

The fourth proportional to 210,701.88, 290,779.38 and 115,207.56 is: 158,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,701.88 : 290,779.38 = 115,207.56 : x
  2. Step 2: Convert to fraction form
    210,701.88/290,779.38 = 115,207.56/x
  3. Step 3: Cross multiply
    210,701.88x = 290,779.38 × 115,207.56
  4. Step 4: Simplify right side
    210,701.88x = 33,499,982,868.11
  5. Step 5: Solve for x
    x = 33,499,982,868.11/210,701.88
  6. Step 6: Final answer
    x = 158,992.33

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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.