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Finding the Fourth Proportional to 209,274.67, 288,810.85 and 113,779.31

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Solution

The fourth proportional to 209,274.67, 288,810.85 and 113,779.31 is: 157,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,274.67 : 288,810.85 = 113,779.31 : x
  2. Step 2: Convert to fraction form
    209,274.67/288,810.85 = 113,779.31/x
  3. Step 3: Cross multiply
    209,274.67x = 288,810.85 × 113,779.31
  4. Step 4: Simplify right side
    209,274.67x = 32,860,699,233.51
  5. Step 5: Solve for x
    x = 32,860,699,233.51/209,274.67
  6. Step 6: Final answer
    x = 157,021.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.