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Finding the Fourth Proportional to 209,779.88, 289,420.29 and 137,224.19

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Solution

The fourth proportional to 209,779.88, 289,420.29 and 137,224.19 is: 189,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,779.88 : 289,420.29 = 137,224.19 : x
  2. Step 2: Convert to fraction form
    209,779.88/289,420.29 = 137,224.19/x
  3. Step 3: Cross multiply
    209,779.88x = 289,420.29 × 137,224.19
  4. Step 4: Simplify right side
    209,779.88x = 39,715,464,864.82
  5. Step 5: Solve for x
    x = 39,715,464,864.82/209,779.88
  6. Step 6: Final answer
    x = 189,319.70

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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.